100984299264 has 504 divisors, whose sum is σ = 320100701760. Its totient is φ = 31729065984.

The previous prime is 100984299259. The next prime is 100984299281. The reversal of 100984299264 is 462992489001.

100984299264 is a `hidden beast` number, since 1 + 0 + 0 + 98 + 4 + 299 + 264 = 666.

It is a super-2 number, since 2×100984299264² (a number of 23 digits) contains 22 as substring.

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 100984299264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 254368314 + ... + 254368710.

It is an arithmetic number, because the mean of its divisors is an integer number (635120440).

Almost surely, 2^100984299264 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 100984299264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160050350880).

100984299264 is an abundant number, since it is smaller than the sum of its proper divisors (219116402496).

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

100984299264 is an frugal number, since it uses more digits than its factorization.

100984299264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 100984299264 in words is "one hundred billion, nine hundred eighty-four million, two hundred ninety-nine thousand, two hundred sixty-four".