100013976505 has 16 divisors (see below), whose sum is σ = 121439414160. Its totient is φ = 79063852032.

The previous prime is 100013976493. The next prime is 100013976541. The reversal of 100013976505 is 505679310001.

It can be written as a sum of positive squares in 8 ways, for example, as 236329129 + 99777647376 = 15373^2 + 315876^2 .

It is not a de Polignac number, because 100013976505 - 2⁹ = 100013975993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669547 + ... + 805183.

It is an arithmetic number, because the mean of its divisors is an integer number (7589963385).

Almost surely, 2^100013976505 is an apocalyptic number.

It is an amenable number.

100013976505 is a deficient number, since it is larger than the sum of its proper divisors (21425437655).

100013976505 is a wasteful number, since it uses less digits than its factorization.

100013976505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137388.

The product of its (nonzero) digits is 28350, while the sum is 37.

The spelling of 100013976505 in words is "one hundred billion, thirteen million, nine hundred seventy-six thousand, five hundred five".