10002164 has 24 divisors (see below), whose sum is σ = 18119808. Its totient is φ = 4828160.

The previous prime is 10002149. The next prime is 10002191. The reversal of 10002164 is 46120001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15284 + ... + 15924.

It is an arithmetic number, because the mean of its divisors is an integer number (754992).

Almost surely, 2^10002164 is an apocalyptic number.

It is an amenable number.

10002164 is a deficient number, since it is larger than the sum of its proper divisors (8117644).

10002164 is a wasteful number, since it uses less digits than its factorization.

10002164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10002164 is about 3162.6198001024. The cubic root of 10002164 is about 215.4590085379.

Adding to 10002164 its reverse (46120001), we get a palindrome (56122165).

The spelling of 10002164 in words is "ten million, two thousand, one hundred sixty-four".