10200964 has 12 divisors (see below), whose sum is σ = 18287388. Its totient is φ = 4976000.

The previous prime is 10200959. The next prime is 10200991. The reversal of 10200964 is 46900201.

10200964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 652864 + 9548100 = 808^2 + 3090^2 .

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, 30937 + ... + 31264.

It is an arithmetic number, because the mean of its divisors is an integer number (1523949).

Almost surely, 2^10200964 is an apocalyptic number.

It is an amenable number.

10200964 is a deficient number, since it is larger than the sum of its proper divisors (8086424).

10200964 is a wasteful number, since it uses less digits than its factorization.

10200964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62246 (or 62244 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 10200964 is about 3193.8948010227. The cubic root of 10200964 is about 216.8771204326.

It can be divided in two parts, 1020096 and 4, that added together give a square (1020100 = 1010²).

The spelling of 10200964 in words is "ten million, two hundred thousand, nine hundred sixty-four".