105672625567115 has 16 divisors (see below), whose sum is σ = 127650207294720. Its totient is φ = 83976091432800.

The previous prime is 105672625567099. The next prime is 105672625567133. The reversal of 105672625567115 is 511765526276501.

It is not a de Polignac number, because 105672625567115 - 2⁴ = 105672625567099 is a prime.

It is a super-2 number, since 2×105672625567115² (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 15 ways as a sum of consecutive naturals, for example, 27986012 + ... + 31536678.

It is an arithmetic number, because the mean of its divisors is an integer number (7978137955920).

Almost surely, 2^{105672625567115} is an apocalyptic number.

105672625567115 is a deficient number, since it is larger than the sum of its proper divisors (21977581727605).

105672625567115 is a wasteful number, since it uses less digits than its factorization.

105672625567115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590242.

The product of its (nonzero) digits is 26460000, while the sum is 59.

The spelling of 105672625567115 in words is "one hundred five trillion, six hundred seventy-two billion, six hundred twenty-five million, five hundred sixty-seven thousand, one hundred fifteen".