100105110500058 has 12 divisors (see below), whose sum is σ = 216894406083498. Its totient is φ = 33368370166680.

The previous prime is 100105110500041. The next prime is 100105110500081. The reversal of 100105110500058 is 850005011501001.

100105110500058 is a `hidden beast` number, since 1 + 0 + 0 + 105 + 1 + 1 + 0 + 500 + 0 + 58 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96891204548889 + 3213905951169 = 9843333^2 + 1792737^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2780697513873 + ... + 2780697513908.

Almost surely, 2^{100105110500058} is an apocalyptic number.

100105110500058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100105110500058 is an abundant number, since it is smaller than the sum of its proper divisors (116789295583440).

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

100105110500058 is a wasteful number, since it uses less digits than its factorization.

100105110500058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561395027789 (or 5561395027786 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 27.

The spelling of 100105110500058 in words is "one hundred trillion, one hundred five billion, one hundred ten million, five hundred thousand, fifty-eight".