105245516434625 has 64 divisors (see below), whose sum is σ = 155298470745600. Its totient is φ = 69674369184000.

The previous prime is 105245516434613. The next prime is 105245516434697. The reversal of 105245516434625 is 526434615542501.

It is a happy number.

It is not a de Polignac number, because 105245516434625 - 2⁶ = 105245516434561 is a prime.

It is a super-2 number, since 2×105245516434625² (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 63 ways as a sum of consecutive naturals, for example, 340149491 + ... + 340458759.

It is an arithmetic number, because the mean of its divisors is an integer number (2426538605400).

Almost surely, 2^{105245516434625} is an apocalyptic number.

It is an amenable number.

105245516434625 is a deficient number, since it is larger than the sum of its proper divisors (50052954310975).

105245516434625 is a wasteful number, since it uses less digits than its factorization.

105245516434625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322731 (or 322721 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 53.

The spelling of 105245516434625 in words is "one hundred five trillion, two hundred forty-five billion, five hundred sixteen million, four hundred thirty-four thousand, six hundred twenty-five".