107325504 has 168 divisors, whose sum is σ = 361687872. Its totient is φ = 29998080.

The previous prime is 107325497. The next prime is 107325511. The reversal of 107325504 is 405523701.

It is a happy number.

107325504 is a `hidden beast` number, since 107 + 3 + 2 + 550 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (107325497) and next prime (107325511).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81717 + ... + 83019.

It is an arithmetic number, because the mean of its divisors is an integer number (2152904).

Almost surely, 2^107325504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180843936).

107325504 is an abundant number, since it is smaller than the sum of its proper divisors (254362368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107325504 is a wasteful number, since it uses less digits than its factorization.

107325504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 107325504 is about 10359.8023147162. The cubic root of 107325504 is about 475.2268596864.

The spelling of 107325504 in words is "one hundred seven million, three hundred twenty-five thousand, five hundred four".