107564825 has 12 divisors (see below), whose sum is σ = 135898668. Its totient is φ = 84427200.

The previous prime is 107564819. The next prime is 107564827. The reversal of 107564825 is 528465701.

It can be written as a sum of positive squares in 6 ways, for example, as 173056 + 107391769 = 416^2 + 10363^2 .

It is not a de Polignac number, because 107564825 - 2²² = 103370521 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107564827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39266 + ... + 41915.

It is an arithmetic number, because the mean of its divisors is an integer number (11324889).

Almost surely, 2^107564825 is an apocalyptic number.

It is an amenable number.

107564825 is a deficient number, since it is larger than the sum of its proper divisors (28333843).

107564825 is an equidigital number, since it uses as much as digits as its factorization.

107564825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81244 (or 81239 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 107564825 is about 10371.3463446170. The cubic root of 107564825 is about 475.5798274721.

The spelling of 107564825 in words is "one hundred seven million, five hundred sixty-four thousand, eight hundred twenty-five".