105607101206055 has 32 divisors (see below), whose sum is σ = 169019100979200. Its totient is φ = 56307876532992.

The previous prime is 105607101206029. The next prime is 105607101206059. The reversal of 105607101206055 is 550602101706501.

It is a happy number.

It is not a de Polignac number, because 105607101206055 - 2²⁹ = 105606564335143 is a prime.

It is a super-2 number, since 2×105607101206055² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105607101206059) 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, 848548842 + ... + 848673288.

It is an arithmetic number, because the mean of its divisors is an integer number (5281846905600).

Almost surely, 2^{105607101206055} is an apocalyptic number.

105607101206055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105607101206055 is a deficient number, since it is larger than the sum of its proper divisors (63411999773145).

105607101206055 is a wasteful number, since it uses less digits than its factorization.

105607101206055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139983.

The product of its (nonzero) digits is 63000, while the sum is 39.

The spelling of 105607101206055 in words is "one hundred five trillion, six hundred seven billion, one hundred one million, two hundred six thousand, fifty-five".