105165166415 has 16 divisors (see below), whose sum is σ = 129736386720. Its totient is φ = 81777813120.

The previous prime is 105165166321. The next prime is 105165166493. The reversal of 105165166415 is 514661561501.

It is a happy number.

It is not a de Polignac number, because 105165166415 - 2⁸ = 105165166159 is a prime.

It is a super-2 number, since 2×105165166415² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90416 + ... + 467445.

It is an arithmetic number, because the mean of its divisors is an integer number (8108524170).

Almost surely, 2^105165166415 is an apocalyptic number.

105165166415 is a deficient number, since it is larger than the sum of its proper divisors (24571220305).

105165166415 is a wasteful number, since it uses less digits than its factorization.

105165166415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558922.

The product of its (nonzero) digits is 108000, while the sum is 41.

The spelling of 105165166415 in words is "one hundred five billion, one hundred sixty-five million, one hundred sixty-six thousand, four hundred fifteen".