10200564 has 36 divisors (see below), whose sum is σ = 28129920. Its totient is φ = 3090960.

The previous prime is 10200563. The next prime is 10200571. The reversal of 10200564 is 46500201.

It is a happy number.

10200564 is a `hidden beast` number, since 102 + 0 + 0 + 564 = 666.

10200564 is nontrivially palindromic in base 8.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200563) 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, 12484 + ... + 13275.

Almost surely, 2^10200564 is an apocalyptic number.

It is an amenable number.

10200564 is an abundant number, since it is smaller than the sum of its proper divisors (17929356).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10200564 is a wasteful number, since it uses less digits than its factorization.

10200564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25780 (or 25775 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10200564 is about 3193.8321809388. The cubic root of 10200564 is about 216.8742856684.

Adding to 10200564 its reverse (46500201), we get a palindrome (56700765).

The spelling of 10200564 in words is "ten million, two hundred thousand, five hundred sixty-four".