100105500511005 has 64 divisors (see below), whose sum is σ = 179456507596800. Its totient is φ = 47223036184320.

The previous prime is 100105500510973. The next prime is 100105500511069. The reversal of 100105500511005 is 500115005501001.

It is not a de Polignac number, because 100105500511005 - 2⁵ = 100105500510973 is a prime.

It is a super-2 number, since 2×100105500511005² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274170156 + ... + 274535034.

It is an arithmetic number, because the mean of its divisors is an integer number (2804007931200).

Almost surely, 2^{100105500511005} is an apocalyptic number.

100105500511005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100105500511005 is a deficient number, since it is larger than the sum of its proper divisors (79351007085795).

100105500511005 is a wasteful number, since it uses less digits than its factorization.

100105500511005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409874.

The product of its (nonzero) digits is 625, while the sum is 24.

The spelling of 100105500511005 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred eleven thousand, five".