556000100117 has 16 divisors (see below), whose sum is σ = 697447675392. Its totient is φ = 430588865520.

The previous prime is 556000100113. The next prime is 556000100147. The reversal of 556000100117 is 711001000655.

It is not a de Polignac number, because 556000100117 - 2² = 556000100113 is a prime.

It is a super-2 number, since 2×556000100117² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556000100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22137083 + ... + 22162184.

It is an arithmetic number, because the mean of its divisors is an integer number (43590479712).

Almost surely, 2^556000100117 is an apocalyptic number.

It is an amenable number.

556000100117 is a deficient number, since it is larger than the sum of its proper divisors (141447575275).

556000100117 is a wasteful number, since it uses less digits than its factorization.

556000100117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44299448.

The product of its (nonzero) digits is 1050, while the sum is 26.

The spelling of 556000100117 in words is "five hundred fifty-six billion, one hundred thousand, one hundred seventeen".