100704554496 has 960 divisors, whose sum is σ = 378258456576. Its totient is φ = 25082265600.

The previous prime is 100704554459. The next prime is 100704554507. The reversal of 100704554496 is 694455407001.

100704554496 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 0 + 4 + 554 + 4 + 96 = 666.

100704554496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 792949185 + ... + 792949311.

Almost surely, 2^100704554496 is an apocalyptic number.

100704554496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100704554496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189129228288).

100704554496 is an abundant number, since it is smaller than the sum of its proper divisors (277553902080).

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

100704554496 is a wasteful number, since it uses less digits than its factorization.

100704554496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 100704554496 in words is "one hundred billion, seven hundred four million, five hundred fifty-four thousand, four hundred ninety-six".