107625865617 has 32 divisors (see below), whose sum is σ = 169045184000. Its totient is φ = 67485162960.

The previous prime is 107625865609. The next prime is 107625865637. The reversal of 107625865617 is 716568526701.

It is a happy number.

107625865617 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 2 + 586 + 56 + 1 + 7 = 666.

It is not a de Polignac number, because 107625865617 - 2³ = 107625865609 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107625865637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 683359 + ... + 825972.

It is an arithmetic number, because the mean of its divisors is an integer number (5282662000).

Almost surely, 2^107625865617 is an apocalyptic number.

It is an amenable number.

107625865617 is a deficient number, since it is larger than the sum of its proper divisors (61419318383).

107625865617 is a wasteful number, since it uses less digits than its factorization.

107625865617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509498 (or 1509492 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 107625865617 in words is "one hundred seven billion, six hundred twenty-five million, eight hundred sixty-five thousand, six hundred seventeen".