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105074808696 = 2332111310205401
BaseRepresentation
bin110000111011011110…
…0100101011101111000
3101001012211210100001100
41201312330211131320
53210143122334241
6120134245451400
710406565065064
oct1416674453570
9331184710040
10105074808696
114061aa98a80
1218445410b60
139ba7001820
14512b036aa4
152aeea1b9b6
hex1876f25778

105074808696 has 96 divisors (see below), whose sum is σ = 334328969520. Its totient is φ = 29391552000.

The previous prime is 105074808673. The next prime is 105074808701. The reversal of 105074808696 is 696808470501.

105074808696 is a `hidden beast` number, since 1 + 0 + 507 + 48 + 0 + 8 + 6 + 96 = 666.

It is a super-2 number, since 2×1050748086962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5092405 + ... + 5112996.

Almost surely, 2105074808696 is an apocalyptic number.

It is an amenable number.

105074808696 is an abundant number, since it is smaller than the sum of its proper divisors (229254160824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105074808696 is a wasteful number, since it uses less digits than its factorization.

105074808696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205437 (or 10205430 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 105074808696 in words is "one hundred five billion, seventy-four million, eight hundred eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 10205401 20410802 30616203 40821604 61232406 81643208 91848609 112259411 122464812 132670213 183697218 224518822 244929624 265340426 336778233 367394436 398010639 449037644 530680852 673556466 734788872 796021278 898075288 1010334699 1061361704 1194031917 1347112932 1459372343 1592042556 2020669398 2388063834 2694225864 2918744686 3184085112 4041338796 4378117029 4776127668 5837489372 8082677592 8756234058 9552255336 11674978744 13134351087 17512468116 26268702174 35024936232 52537404348 105074808696