10516904900 has 36 divisors (see below), whose sum is σ = 23056979988. Its totient is φ = 4163389440.

The previous prime is 10516904777. The next prime is 10516904933. The reversal of 10516904900 is 940961501.

It can be written as a sum of positive squares in 6 ways, for example, as 217090756 + 10299814144 = 14734^2 + 101488^2 .

It is a super-2 number, since 2×10516904900² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532409 + ... + 551808.

Almost surely, 2^10516904900 is an apocalyptic number.

10516904900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10516904900 is an abundant number, since it is smaller than the sum of its proper divisors (12540075088).

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

10516904900 is a wasteful number, since it uses less digits than its factorization.

10516904900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084328 (or 1084321 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 10516904900 in words is "ten billion, five hundred sixteen million, nine hundred four thousand, nine hundred".