100,000


100,000 is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.

Terms for 100,000

In Bangladesh, India, Pakistan and South Asia, one hundred thousand is called a lakh, and is written as 1,00,000. The Thai, Lao, Khmer and Vietnamese languages also have separate words for this number: แสน, ແສນ, សែន, and ức respectively. The Malagasy word is hetsy.
In the Netherlands, a 'ton' is a colloquialism for a denomination of 100.000 monetary units. In the guilders period a ton would denote 100.000 guilders. With the introduction of the euro, a ton would come to mean 100.000 euros. The usage is mostly limited to the financial sphere and the buying and selling of houses. It is not used in official settings because of the ambiguity with commonly used metric tonne. While usage is common in the Netherlands, it sees almost no use in Belgium.
In Cyrillic numerals, it is known as the legion : or.

Values of 100,000

In astronomy, 100,000 metres, 100 kilometres, or 100 km is the altitude at which the Fédération Aéronautique Internationale defines spaceflight to begin.
In paleoclimatology, the 100,000-year problem is a mismatch between the temperature record and the modeled incoming solar radiation.
In the Irish language, is a popular greeting meaning "a hundred thousand welcomes".

Selected 6-digit numbers (100,001–999,999)

100,001 to 199,999

100,001 = second smallest 6-digit number100,003 = smallest 6-digit prime number100,128 = smallest triangular number with 6 digits and the 447th triangular number100,151 = twin prime with 100,153100,153 = twin prime with 100,151100,255 = Friedman number100,489 = 3172, the smallest 6-digit square101,101 = smallest palindromic Carmichael number101,723 = smallest prime number whose square is a pandigital number containing each digit from 0 to 9102,564 = The smallest parasitic number103,049 = Schröder–Hipparchus number103,680 = highly totient number103,769 = the number of combinatorial types of 5-dimensional parallelohedra103,823 = 473, the smallest 6-digit cube and nice Friedman number 3104,480 = number of non-isomorphic set-systems of weight 14.104,723 = the 9,999th prime number104,729 = the 10,000th prime number104,869 = the smallest prime number containing every non-prime digit104,976 = 184, 3-smooth number105,071 = number of triangle-free graphs on 11 vertices105,558 = number of partitions of 46105,664 = harmonic divisor number108,968 = number of signed trees with 11 nodes109,376 = automorphic number110,880 = 30th highly composite number111,111 = repunit111,777 = smallest natural number requiring 17 syllables in American English, 19 in British English113,634 = Motzkin number for n = 14114,243/80,782 ≈ √2114,689 = prime factor of F12115,975 = Bell number116,281 = 3412, square number, centered decagonal number, 18-gonal number117,067 = first vampire prime117,649 = 76117,800 = harmonic divisor number120,032 = number of primitive polynomials of degree 22 over GF120,284 = Keith number120,960 = highly totient number121,393 = Fibonacci number123,717 = smallest digitally balanced number in base 7123,867 = number of trees with 18 unlabeled nodes124,754 = number of partitions of 47125,673 = logarithmic number127,777 = smallest natural number requiring 18 syllables in American English, 20 in British English127,912 = Wedderburn–Etherington number128,981 = Starts the first prime gap sequence of 2, 4, 6, 8, 10, 12, 14129,106 = Keith number130,321 = 194131,071 = Mersenne prime 131,072 = 217, largest determinant of a -matrix of order 15.131,361 = Leyland number134,340 = Pluto's minor planet designation135,135 = double factorial of 13135,137 = Markov number142,129 = 3772, square number, dodecagonal number142,857 = Kaprekar number, smallest cyclic number in decimal.144,000 = number with religious significance147,273 = number of partitions of 48147,640 = Keith number148,149 = Kaprekar number152,381 = unique prime in base 20156,146 = Keith number155,921 = smallest prime number being the only prime in an interval from 100n to 100n + 99160,000 = 204160,176 = number of reduced trees with 26 nodes161,051 = 115161,280 = highly totient number166,320 = 31st highly composite number167,400 = harmonic divisor number167,894 = number of ways to partition and then partition each cell into subcells.173,525 = number of partitions of 49173,600 = harmonic divisor number174,680 = Keith number174,763 = Wagstaff prime176,906 = number of 24-bead necklaces where complements are equivalent177,147 = 311177,777 = smallest natural number requiring 19 syllables in American English, 21 in British English178,478 = Leyland number181,440 = highly totient number181,819 = Kaprekar number182,362 = number of 23-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed183,186 = Keith number183,231 = number of partially ordered set with 9 unlabeled elements187,110 = Kaprekar number189,819 = number of letters in the longest English word, taking 3 hours to pronounce194,481 = 214195,025 = Pell number, Markov number196,418 = Fibonacci number, Markov number196,560 = the kissing number in 24 dimensions196,883 = the dimension of the smallest nontrivial irreducible representation of the Monster group196,884 = the coefficient of q in the Fourier series expansion of the j-invariant. The adjacency of 196883 and 196884 was important in suggesting monstrous moonshine.199,999 = prime number

200,000 to 299,999

202,717 = k such that the sum of the squares of the first k primes is divisible by k.206,098 – Large Schröder number206,265 = rounded number of arc seconds in a radian, since = 206,264.806...207,360 = highly totient number208,012 = the Catalan number C12208,335 = the largest number to be both triangular and square pyramidal208,495 = Kaprekar number212,159 = smallest unprimeable number ending in 1, 3, 7 or 9221,760 = 32nd highly composite number222,222 = repdigit224,737 = the 20,000th prime number227,475 = Riordan number234,256 = 224237,510 = harmonic divisor number238,591 = number of free 13-ominoes241,920 = highly totient number242,060 = harmonic divisor number248,832 = 125, 100,00012, AKA a gross-great-gross ; the smallest fifth power that can be represented as the sum of only 6 fifth powers: 125 = 45 + 55 + 65 + 75 + 95 + 115253,293 = number of prime knots with 15 crossings255,168 = number of ways to play tic tac toe262,144 = 218; exponential factorial of 4; a superperfect number262,468 = Leyland number268,705 = Leyland number271,129 – smallest known Sierpiński prime274,177 = prime factor of the Fermat number F6275,807/195,025 ≈ √2276,480 = number of primitive polynomials of degree 24 over GF277,200 = 33rd highly composite number279,841 = 234279,936 = 67280,859 = a prime number whose square 78881777881 is tridigital283,086 = number of primes with distinct digits, the largest being 987,654,103291,400 = number of non-equivalent ways of expressing 100,000,000 as the sum of two prime numbers293,547 = Wedderburn–Etherington number294,001 = smallest weakly prime number in base 10294,685 = Markov number298,320 = Keith number

300,000 to 399,999

310,572 = Motzkin number314,159 = pi-prime316,749 = number of reduced trees with 27 nodes317,811 = Fibonacci number317,955 = number of trees with 19 unlabeled nodes318,682 = Kaprekar number325,878 = Fine number326,981 = alternating factorial329,967 = Kaprekar number331,776 = 244332,640 = 34th highly composite number; harmonic divisor number333,333 = repdigit333,667 = sexy prime and unique prime333,673 = sexy prime with 333,679333,679 = sexy prime with 333,673337,500 = 22 × 33 × 55337,594 = number of 25-bead necklaces where complements are equivalent349,716 = number of 24-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed350,377 = the 30,000th prime number351,351 = only known odd abundant number that is not the sum of some of its proper, nontrivial divisors.351,352 = Kaprekar number355,419 = Keith number356,643 = Kaprekar number356,960 = number of primitive polynomials of degree 23 over GF360,360 = harmonic divisor number; smallest number divisible by the numbers from 1 to 15 362,880 = 9!, highly totient number369,119 = prime number which divides the sum of all primes less than or equal to it369,293 = smallest prime with the property that inserting a digit anywhere in the number will always yield a composite370,261 = first prime followed by a prime gap of over 100371,293 = 135, palindromic in base 12 389,305 = self-descriptive number in base 7390,313 = Kaprekar number390,625 = 58397,585 = Leyland number

400,000 to 499,999

409,113 = sum of the first nine factorials422,481 = smallest number whose fourth power is the sum of three smaller fourth powers423,393 = Leyland number426,389 = Markov number426,569 = cyclic number in base 12437,760 to 440,319 = any of these numbers will cause the Apple II+ and Apple IIe computers to crash to a monitor prompt when entered at the BASIC prompt, due to a short-cut in the Applesoft code programming of the overflow test when evaluating 16-bit numbers. Entering 440000 at the prompt has been used to hack games that are protected against entering commands at the prompt after the game is loaded.444,444 = repdigit456,976 = 264461,539 = Kaprekar number466,830 = Kaprekar number470,832 = Pell number479,909 = the 40,000th prime number483,840 = highly totient number492,638 = number of signed trees with 12 nodes498,960 = 35th highly composite number499,393 = Markov number499,500 = Kaprekar number

500,000 to 599,999

500,500 = Kaprekar number, sum of first 1,000 integers509,203 = Riesel prime510,510 = the product of the first seven prime numbers, thus the seventh primorial. It is also the product of four consecutive Fibonacci numbers—13, 21, 34, 55, the largest such sequence of any length to be also a primorial. And it is a double triangular number, the sum of all even numbers from 0 to 1428.514,229 = Fibonacci prime, 518,859 = Schröder–Hipparchus number524,287 = Mersenne prime524,288 = 219524,649 = Leyland number525,600 = minutes in a non-leap year527,040 = minutes in a leap year531,441 = 312533,169 = Leyland number533,170 = Kaprekar number537,824 = 145539,400 = harmonic divisor number548,834 = equal to the sum of the sixth powers of its digits554,400 = 36th highly composite number555,555 = repdigit586,081 = number of prime numbers having seven digits.599,999 = prime number.

600,000 to 699,999

604,800 = number of seconds in a week611,953 = the 50,000th prime number614,656 = 284625,992 = Riordan number629,933 = number of reduced trees with 28 nodes645,120 = double factorial of 14 646,018 = Markov number649,532 = number of 26-bead necklaces where complements are equivalent664,579 = the number of primes under 10,000,000665,280 = 37th highly composite number665,857/470,832 ≈ √2666,666 = repdigit671,092 = number of 25-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed676,157 = Wedderburn–Etherington number678,570 = Bell number688,451 = alongside 688,453, the smallest pair of twin primes followed by a gap of at least 1,000 before the next twin prime pair 694,280 = Keith number695,520 = harmonic divisor number

700,000 to 799,999

700,001 = prime number.707,281 = 294711,569 = the 60,000th prime number720,720 = 10th superior [highly composite number]; 10th colossally abundant number; 38th highly composite number, smallest number divisible by the numbers from 1 to 16725,760 = highly totient number726,180 = harmonic divisor number729,000 = 903739,397 = largest prime that is both right- and left-truncatable.742,900 = Catalan number753,480 = harmonic divisor number759,375 = 155762,701 – smallest known composite Riesel number765,623 = emirp, Friedman prime 56 × 72 − 6 ÷ 3777,777 = repdigit, smallest natural number requiring 20 syllables in American English, 22 in British English, largest number in English not containing the letter 'i' in its name783,700 = initial number of third century xx00 to xx99 containing seventeen prime numbers 799,999 = prime number.

800,000 to 899,999

810,000 = 304823,065 = number of trees with 20 unlabeled nodes823,543 = 77825,265 = smallest Carmichael number with 5 prime factors832,040 = Fibonacci number853,467 = Motzkin number857,375 = 953873,612 = 11 + 22 + 33 + 44 + 55 + 66 + 77888,888 = repdigit890,625 = automorphic number

900,000 to 999,999

900,001 = prime number901,971 = number of free 14-ominoes909,091 = unique prime in base 10923,521 = 314925,765 = Markov number925,993 = Keith number950,976 = harmonic divisor number956,619: 956619^2=915119911161, and only the digits 1, 5, 6 and 9 are used in both this number and its square.967,680 = highly totient number970,299 = 993, the largest 6-digit cube998,001 = 9992, the largest 6-digit square. The reciprocal of this number, in its expanded form, lists all three-digit numbers in order except 998.998,991 = largest triangular number with 6 digits and the 1413th triangular number999,983 = largest 6-digit prime number999,999 = repdigit. Rational numbers with denominators 7 and 13 have 6-digit repetends when expressed in decimal form, because 999999 is the smallest number one less than a power of 10 that is divisible by 7 and by 13.

Prime numbers

There are 9,592 primes less than 105, where 99,991 is the largest prime number smaller than 100,000.
Increments of 105 from 100,000 through a one million have the following prime counts:
  • 8,392 primes between 100,000 and 200,000. This is a difference of 1,200 primes from the previous range.
  • *104,729 is the 10,000th prime, which is in this range.
  • *199,999 is prime.
  • 8,013 primes between 200,000 and 300,000. A difference of 379 primes from the previous range.
  • *224,737 is the 20,000th prime.
  • 7,863 primes between 300,000 and 400,000. A difference of 150 primes from the previous range.
  • * 350,377 is the 30,000th prime.
  • 7,678 primes between 400,000 and 500,000. A difference of 185 primes from the previous range. Here, the difference increases by a count of 35.
  • * 479,909 is the 40,000th prime.7,560 primes between 500,000 and 600,000. A difference of 118 primes from the previous range.
  • *7,560 is the twentieth highly composite number.
  • *599,999 is prime.
  • 7,445 primes between 600,000 and 700,000. A difference of 115 primes from the previous range.
  • * 611,953 is the 50,000th prime.
  • 7,408 primes between 700,000 and 800,000. A difference of 37 primes from the previous range.
  • *700,001 and 799,999 are both prime.
  • *746,773 is the 60,000th prime.
  • 7,323 primes between 800,000 and 900,000. A difference of 85 primes from the previous range. Here, the difference increases by a count of 48.
  • * 882,377 is the 70,000th prime.
  • 7,224 primes between 900,000 and 1,000,000. A difference of 99 primes from the previous range. The difference increases again, by a count of 14.
  • * 900,001 is prime.
In total, there are 68,906 prime numbers between 100,000 and 1,000,000.