10000564 has 24 divisors (see below), whose sum is σ = 20068160. Its totient is φ = 4271616.

The previous prime is 10000537. The next prime is 10000583. The reversal of 10000564 is 46500001.

It is a super-2 number, since 2×10000564² = 200022560636192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15847 + ... + 16465.

Almost surely, 2^10000564 is an apocalyptic number.

10000564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10000564 is an abundant number, since it is smaller than the sum of its proper divisors (10067596).

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

10000564 is a wasteful number, since it uses less digits than its factorization.

10000564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10000564 is about 3162.3668351410. The cubic root of 10000564 is about 215.4475192643.

Adding to 10000564 its reverse (46500001), we get a palindrome (56500565).

The spelling of 10000564 in words is "ten million, five hundred sixty-four", and thus it is an aban number.