105107977512 has 80 divisors (see below), whose sum is σ = 298126382400. Its totient is φ = 34592482080.

The previous prime is 105107977483. The next prime is 105107977547. The reversal of 105107977512 is 215779701501.

105107977512 is a `hidden beast` number, since 10 + 51 + 0 + 7 + 9 + 77 + 512 = 666.

It is a super-2 number, since 2×105107977512² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 975414 + ... + 1077797.

It is an arithmetic number, because the mean of its divisors is an integer number (3726579780).

Almost surely, 2^105107977512 is an apocalyptic number.

105107977512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105107977512 is an abundant number, since it is smaller than the sum of its proper divisors (193018404888).

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

105107977512 is a wasteful number, since it uses less digits than its factorization.

105107977512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053308 (or 2053295 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 45.

The spelling of 105107977512 in words is "one hundred five billion, one hundred seven million, nine hundred seventy-seven thousand, five hundred twelve".