100091935079 has 16 divisors (see below), whose sum is σ = 106383716640. Its totient is φ = 93845744640.

The previous prime is 100091935061. The next prime is 100091935087. The reversal of 100091935079 is 970539190001.

It is not a de Polignac number, because 100091935079 - 2¹⁶ = 100091869543 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100091905079) 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, 4799627 + ... + 4820435.

It is an arithmetic number, because the mean of its divisors is an integer number (6648982290).

Almost surely, 2^100091935079 is an apocalyptic number.

100091935079 is a deficient number, since it is larger than the sum of its proper divisors (6291781561).

100091935079 is a wasteful number, since it uses less digits than its factorization.

100091935079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21890.

The product of its (nonzero) digits is 76545, while the sum is 44.

The spelling of 100091935079 in words is "one hundred billion, ninety-one million, nine hundred thirty-five thousand, seventy-nine".