105502415125 has 32 divisors (see below), whose sum is σ = 135307003104. Its totient is φ = 82071360000.

The previous prime is 105502415113. The next prime is 105502415143. The reversal of 105502415125 is 521514205501.

It can be written as a sum of positive squares in 16 ways, for example, as 39920839204 + 65581575921 = 199802^2 + 256089^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105502415125 is a prime.

It is a super-2 number, since 2×105502415125² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

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, 8934225 + ... + 8946025.

It is an arithmetic number, because the mean of its divisors is an integer number (4228343847).

Almost surely, 2^105502415125 is an apocalyptic number.

It is an amenable number.

105502415125 is a deficient number, since it is larger than the sum of its proper divisors (29804587979).

105502415125 is a wasteful number, since it uses less digits than its factorization.

105502415125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13786 (or 13776 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 31.

The spelling of 105502415125 in words is "one hundred five billion, five hundred two million, four hundred fifteen thousand, one hundred twenty-five".