105556101100505 has 24 divisors (see below), whose sum is σ = 140231019969600. Its totient is φ = 76215785168160.

The previous prime is 105556101100477. The next prime is 105556101100589. The reversal of 105556101100505 is 505001101655501.

It is a de Polignac number, because none of the positive numbers 2^k-105556101100505 is a prime.

It is a super-2 number, since 2×105556101100505² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627516245 + ... + 627684434.

It is an arithmetic number, because the mean of its divisors is an integer number (5842959165400).

Almost surely, 2^{105556101100505} is an apocalyptic number.

It is an amenable number.

105556101100505 is a deficient number, since it is larger than the sum of its proper divisors (34674918869095).

105556101100505 is a wasteful number, since it uses less digits than its factorization.

105556101100505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255200845 (or 1255200834 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 35.

The spelling of 105556101100505 in words is "one hundred five trillion, five hundred fifty-six billion, one hundred one million, one hundred thousand, five hundred five".