10054977600 has 84 divisors (see below), whose sum is σ = 32988721424. Its totient is φ = 2681326080.

The previous prime is 10054977599. The next prime is 10054977623. The reversal of 10054977600 is 677945001.

It is a super-2 number, since 2×10054977600² (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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1042594 + ... + 1052193.

Almost surely, 2^10054977600 is an apocalyptic number.

10054977600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10054977600 is an abundant number, since it is smaller than the sum of its proper divisors (22933743824).

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

10054977600 is a wasteful number, since it uses less digits than its factorization.

10054977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094812 (or 2094797 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 10054977600 in words is "ten billion, fifty-four million, nine hundred seventy-seven thousand, six hundred".