100610506051 has 16 divisors (see below), whose sum is σ = 111780684288. Its totient is φ = 89788686400.

The previous prime is 100610506027. The next prime is 100610506057. The reversal of 100610506051 is 150605016001.

It is a cyclic number.

It is not a de Polignac number, because 100610506051 - 2¹¹ = 100610504003 is a prime.

It is a super-2 number, since 2×100610506051² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100610506057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94471 + ... + 458416.

It is an arithmetic number, because the mean of its divisors is an integer number (6986292768).

Almost surely, 2^100610506051 is an apocalyptic number.

100610506051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100610506051 is a deficient number, since it is larger than the sum of its proper divisors (11170178237).

100610506051 is a wasteful number, since it uses less digits than its factorization.

100610506051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553202.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 100610506051 in words is "one hundred billion, six hundred ten million, five hundred six thousand, fifty-one".