10005605564 has 24 divisors (see below), whose sum is σ = 18025875168. Its totient is φ = 4855999680.

The previous prime is 10005605563. The next prime is 10005605573. The reversal of 10005605564 is 46550650001.

It is a super-2 number, since 2×10005605564² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10005605564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005605563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17984 + ... + 142599.

It is an arithmetic number, because the mean of its divisors is an integer number (751078132).

Almost surely, 2^10005605564 is an apocalyptic number.

It is an amenable number.

10005605564 is a deficient number, since it is larger than the sum of its proper divisors (8020269604).

10005605564 is a wasteful number, since it uses less digits than its factorization.

10005605564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161045 (or 161043 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 10005605564 in words is "ten billion, five million, six hundred five thousand, five hundred sixty-four".