5105605056100 has 36 divisors (see below), whose sum is σ = 11079285047908. Its totient is φ = 2042219520000.

The previous prime is 5105605056049. The next prime is 5105605056173. The reversal of 5105605056100 is 16505065015.

It can be written as a sum of positive squares in 6 ways, for example, as 342316266084 + 4763288790016 = 585078^2 + 2182496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11151700 + ... + 11600500.

Almost surely, 2^{5105605056100} is an apocalyptic number.

5105605056100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5105605056100 is an abundant number, since it is smaller than the sum of its proper divisors (5973679991808).

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

5105605056100 is a wasteful number, since it uses less digits than its factorization.

5105605056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562576 (or 562569 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 5105605056100 in words is "five trillion, one hundred five billion, six hundred five million, fifty-six thousand, one hundred".