100064910456 has 192 divisors, whose sum is σ = 320775137280. Its totient is φ = 27587105280.

The previous prime is 100064910431. The next prime is 100064910599. The reversal of 100064910456 is 654019460001.

100064910456 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 649 + 1 + 0 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100064910456.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1652100 + ... + 1711596.

It is an arithmetic number, because the mean of its divisors is an integer number (1670703840).

Almost surely, 2^100064910456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100064910456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160387568640).

100064910456 is an abundant number, since it is smaller than the sum of its proper divisors (220710226824).

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

100064910456 is a wasteful number, since it uses less digits than its factorization.

100064910456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59634 (or 59627 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 100064910456 in words is "one hundred billion, sixty-four million, nine hundred ten thousand, four hundred fifty-six".