105350768172 has 36 divisors (see below), whose sum is σ = 286788203520. Its totient is φ = 32415620832.

The previous prime is 105350768143. The next prime is 105350768207. The reversal of 105350768172 is 271867053501.

It is a happy number.

105350768172 is a `hidden beast` number, since 10 + 5 + 3 + 507 + 68 + 1 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105350768172² (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 11 ways as a sum of consecutive naturals, for example, 112553772 + ... + 112554707.

Almost surely, 2^105350768172 is an apocalyptic number.

105350768172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105350768172 is an abundant number, since it is smaller than the sum of its proper divisors (181437435348).

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

105350768172 is a wasteful number, since it uses less digits than its factorization.

105350768172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225108502 (or 225108497 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 105350768172 in words is "one hundred five billion, three hundred fifty million, seven hundred sixty-eight thousand, one hundred seventy-two".