100105055550513 has 32 divisors (see below), whose sum is σ = 159759149585280. Its totient is φ = 61584835947840.

The previous prime is 100105055550499. The next prime is 100105055550529. The reversal of 100105055550513 is 315055550501001.

100105055550513 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 5 + 0 + 55 + 550 + 51 + 3 = 666.

It is not a de Polignac number, because 100105055550513 - 2³⁸ = 99830177643569 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100105055550583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41118706 + ... + 43485147.

It is an arithmetic number, because the mean of its divisors is an integer number (4992473424540).

Almost surely, 2^{100105055550513} is an apocalyptic number.

100105055550513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100105055550513 is a deficient number, since it is larger than the sum of its proper divisors (59654094034767).

100105055550513 is a wasteful number, since it uses less digits than its factorization.

100105055550513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84607246 (or 84607240 counting only the distinct ones).

The product of its (nonzero) digits is 46875, while the sum is 36.

The spelling of 100105055550513 in words is "one hundred trillion, one hundred five billion, fifty-five million, five hundred fifty thousand, five hundred thirteen".