105165115602250 has 64 divisors (see below), whose sum is σ = 214801720159104. Its totient is φ = 38235550896000.

The previous prime is 105165115602193. The next prime is 105165115602263. The reversal of 105165115602250 is 52206511561501.

It is a super-2 number, since 2×105165115602250² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13532622 + ... + 19835878.

It is an arithmetic number, because the mean of its divisors is an integer number (3356276877486).

Almost surely, 2^{105165115602250} is an apocalyptic number.

105165115602250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105165115602250 is an abundant number, since it is smaller than the sum of its proper divisors (109636604556854).

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

105165115602250 is a wasteful number, since it uses less digits than its factorization.

105165115602250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309352 (or 6309342 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 40.

The spelling of 105165115602250 in words is "one hundred five trillion, one hundred sixty-five billion, one hundred fifteen million, six hundred two thousand, two hundred fifty".