105612586325 has 48 divisors (see below), whose sum is σ = 141699264000. Its totient is φ = 77813187840.

The previous prime is 105612586307. The next prime is 105612586327. The reversal of 105612586325 is 523685216501.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-105612586325 is a prime.

It is a super-2 number, since 2×105612586325² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105612586327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31439996 + ... + 31443354.

It is an arithmetic number, because the mean of its divisors is an integer number (2952068000).

Almost surely, 2^105612586325 is an apocalyptic number.

It is an amenable number.

105612586325 is a deficient number, since it is larger than the sum of its proper divisors (36086677675).

105612586325 is a wasteful number, since it uses less digits than its factorization.

105612586325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 105612586325 in words is "one hundred five billion, six hundred twelve million, five hundred eighty-six thousand, three hundred twenty-five".