100480354338564 has 96 divisors (see below), whose sum is σ = 264926338588800. Its totient is φ = 32924972436480.

The previous prime is 100480354338509. The next prime is 100480354338571. The reversal of 100480354338564 is 465833453084001.

100480354338564 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 8 + 0 + 3 + 5 + 43 + 38 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 100480354338564.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301974844 + ... + 302307404.

It is an arithmetic number, because the mean of its divisors is an integer number (2759649360300).

Almost surely, 2^{100480354338564} is an apocalyptic number.

It is an amenable number.

100480354338564 is an abundant number, since it is smaller than the sum of its proper divisors (164445984250236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100480354338564 is a wasteful number, since it uses less digits than its factorization.

100480354338564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380050 (or 380042 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 100480354338564 in words is "one hundred trillion, four hundred eighty billion, three hundred fifty-four million, three hundred thirty-eight thousand, five hundred sixty-four".