100105555101051 has 16 divisors (see below), whose sum is σ = 135303574964096. Its totient is φ = 65822300709696.

The previous prime is 100105555100917. The next prime is 100105555101077. The reversal of 100105555101051 is 150101555501001.

It is a happy number.

It is not a de Polignac number, because 100105555101051 - 2⁹ = 100105555100539 is a prime.

It is a super-2 number, since 2×100105555101051² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100105555101091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 26405496 + ... + 29957658.

It is an arithmetic number, because the mean of its divisors is an integer number (8456473435256).

Almost surely, 2^{100105555101051} is an apocalyptic number.

100105555101051 is a deficient number, since it is larger than the sum of its proper divisors (35198019863045).

100105555101051 is a wasteful number, since it uses less digits than its factorization.

100105555101051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680922.

The product of its (nonzero) digits is 3125, while the sum is 30.

The spelling of 100105555101051 in words is "one hundred trillion, one hundred five billion, five hundred fifty-five million, one hundred one thousand, fifty-one".