100105500510561 has 64 divisors (see below), whose sum is σ = 174533355763200. Its totient is φ = 49604216610816.

The previous prime is 100105500510517. The next prime is 100105500510593. The reversal of 100105500510561 is 165015005501001.

It is not a de Polignac number, because 100105500510561 - 2³⁴ = 100088320641377 is a prime.

It is a super-2 number, since 2×100105500510561² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100105500512561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170576976 + ... + 171162833.

It is an arithmetic number, because the mean of its divisors is an integer number (2727083683800).

Almost surely, 2^{100105500510561} is an apocalyptic number.

It is an amenable number.

100105500510561 is a deficient number, since it is larger than the sum of its proper divisors (74427855252639).

100105500510561 is a wasteful number, since it uses less digits than its factorization.

100105500510561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341739898.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 100105500510561 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred ten thousand, five hundred sixty-one".