10200164 has 36 divisors (see below), whose sum is σ = 19676160. Its totient is φ = 4623840.

The previous prime is 10200163. The next prime is 10200167. The reversal of 10200164 is 46100201.

It is not an unprimeable number, because it can be changed into a prime (10200161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53309 + ... + 53499.

It is an arithmetic number, because the mean of its divisors is an integer number (546560).

Almost surely, 2^10200164 is an apocalyptic number.

It is an amenable number.

10200164 is a deficient number, since it is larger than the sum of its proper divisors (9475996).

10200164 is a wasteful number, since it uses less digits than its factorization.

10200164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

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

The square root of 10200164 is about 3193.7695596270. The cubic root of 10200164 is about 216.8714508301.

Adding to 10200164 its reverse (46100201), we get a palindrome (56300365).

The spelling of 10200164 in words is "ten million, two hundred thousand, one hundred sixty-four".