100105555968 has 832 divisors, whose sum is σ = 351020390400. Its totient is φ = 27869184000.

The previous prime is 100105555961. The next prime is 100105556003. The reversal of 100105555968 is 869555501001.

100105555968 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 5 + 55 + 596 + 8 = 666.

It is a super-2 number, since 2×100105555968² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105555961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1409937373 + ... + 1409937443.

Almost surely, 2^100105555968 is an apocalyptic number.

100105555968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100105555968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175510195200).

100105555968 is an abundant number, since it is smaller than the sum of its proper divisors (250914834432).

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

100105555968 is a wasteful number, since it uses less digits than its factorization.

100105555968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 45.

The spelling of 100105555968 in words is "one hundred billion, one hundred five million, five hundred fifty-five thousand, nine hundred sixty-eight".