100105111101056 has 64 divisors (see below), whose sum is σ = 203391543649320. Its totient is φ = 49059686387712.

The previous prime is 100105111101041. The next prime is 100105111101103. The reversal of 100105111101056 is 650101111501001.

It can be written as a sum of positive squares in 4 ways, for example, as 85572120270400 + 14532990830656 = 9250520^2 + 3812216^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411155 + ... + 14155538.

Almost surely, 2^{100105111101056} is an apocalyptic number.

100105111101056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100105111101056 is an abundant number, since it is smaller than the sum of its proper divisors (103286432548264).

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

100105111101056 is a wasteful number, since it uses less digits than its factorization.

100105111101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14567773 (or 14567761 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 23.

Adding to 100105111101056 its reverse (650101111501001), we get a palindrome (750206222602057).

The spelling of 100105111101056 in words is "one hundred trillion, one hundred five billion, one hundred eleven million, one hundred one thousand, fifty-six".