10005560164 has 24 divisors (see below), whose sum is σ = 18361659960. Its totient is φ = 4764098304.

The previous prime is 10005560143. The next prime is 10005560281. The reversal of 10005560164 is 46106550001.

It can be written as a sum of positive squares in 4 ways, for example, as 5445259264 + 4560300900 = 73792^2 + 67530^2 .

It is a super-2 number, since 2×10005560164² (a number of 21 digits) contains 22 as substring.

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, 582319 + ... + 599254.

It is an arithmetic number, because the mean of its divisors is an integer number (765069165).

Almost surely, 2^10005560164 is an apocalyptic number.

It is an amenable number.

10005560164 is a deficient number, since it is larger than the sum of its proper divisors (8356099796).

10005560164 is a wasteful number, since it uses less digits than its factorization.

10005560164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181679 (or 1181677 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 10005560164 in words is "ten billion, five million, five hundred sixty thousand, one hundred sixty-four".