10052164 has 12 divisors (see below), whose sum is σ = 17624124. Its totient is φ = 5016704.

The previous prime is 10052071. The next prime is 10052191. The reversal of 10052164 is 46125001.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 9424900 = 792^2 + 3070^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 432 + ... + 4504.

It is an arithmetic number, because the mean of its divisors is an integer number (1468677).

Almost surely, 2^10052164 is an apocalyptic number.

It is an amenable number.

10052164 is a deficient number, since it is larger than the sum of its proper divisors (7571960).

10052164 is a wasteful number, since it uses less digits than its factorization.

10052164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 10052164 is about 3170.5147846998. The cubic root of 10052164 is about 215.8174326110.

Adding to 10052164 its reverse (46125001), we get a palindrome (56177165).

The spelling of 10052164 in words is "ten million, fifty-two thousand, one hundred sixty-four".