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106551998112 = 2537565928019
BaseRepresentation
bin110001100111011111…
…1100111011010100000
3101012000210101022222110
41203032333213122200
53221204302414422
6120541015035320
710461313016550
oct1431677473240
9335023338873
10106551998112
114120890927a
121879806bb40
13a0810682c1
14522b2bd160
152b8955c60c
hex18cefe76a0

106551998112 has 96 divisors (see below), whose sum is σ = 319723891200. Its totient is φ = 30436962048.

The previous prime is 106551998027. The next prime is 106551998123. The reversal of 106551998112 is 211899155601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1065519981122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3788839 + ... + 3816857.

It is an arithmetic number, because the mean of its divisors is an integer number (3330457200).

Almost surely, 2106551998112 is an apocalyptic number.

106551998112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106551998112 is an abundant number, since it is smaller than the sum of its proper divisors (213171893088).

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

106551998112 is a wasteful number, since it uses less digits than its factorization.

106551998112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33698 (or 33690 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 48.

The spelling of 106551998112 in words is "one hundred six billion, five hundred fifty-one million, nine hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5659 11318 16977 22636 28019 33954 39613 45272 56038 67908 79226 84057 90544 112076 118839 135816 158452 168114 181088 196133 224152 237678 271632 316904 336228 392266 448304 475356 543264 588399 633808 672456 784532 896608 950712 1176798 1267616 1344912 1569064 1901424 2353596 2689824 3138128 3802848 4707192 6276256 9414384 18828768 158559521 317119042 475678563 634238084 951357126 1109916647 1268476168 1902714252 2219833294 2536952336 3329749941 3805428504 4439666588 5073904672 6659499882 7610857008 8879333176 13318999764 15221714016 17758666352 26637999528 35517332704 53275999056 106551998112