100506011105079 has 12 divisors (see below), whose sum is σ = 145175913916176. Its totient is φ = 67003746845472.

The previous prime is 100506011105077. The next prime is 100506011105089. The reversal of 100506011105079 is 970501110605001.

100506011105079 is a `hidden beast` number, since 10 + 0 + 506 + 0 + 11 + 10 + 50 + 79 = 666.

It is not a de Polignac number, because 100506011105079 - 2¹ = 100506011105077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100506011105077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19255539 + ... + 23912084.

It is an arithmetic number, because the mean of its divisors is an integer number (12097992826348).

Almost surely, 2^{100506011105079} is an apocalyptic number.

100506011105079 is a deficient number, since it is larger than the sum of its proper divisors (44669902811097).

100506011105079 is a wasteful number, since it uses less digits than its factorization.

100506011105079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43426326 (or 43426323 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 36.

The spelling of 100506011105079 in words is "one hundred trillion, five hundred six billion, eleven million, one hundred five thousand, seventy-nine".