100105500556110 has 32 divisors (see below), whose sum is σ = 274575087240192. Its totient is φ = 22881257269920.

The previous prime is 100105500556081. The next prime is 100105500556151. The reversal of 100105500556110 is 11655005501001.

100105500556110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100105500556110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238346429686 + ... + 238346430105.

It is an arithmetic number, because the mean of its divisors is an integer number (8580471476256).

Almost surely, 2^{100105500556110} is an apocalyptic number.

100105500556110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105500556110 is an abundant number, since it is smaller than the sum of its proper divisors (174469586684082).

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

100105500556110 is a wasteful number, since it uses less digits than its factorization.

100105500556110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476692859808.

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

The spelling of 100105500556110 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred fifty-six thousand, one hundred ten".