100821936384 has 504 divisors, whose sum is σ = 336387232440. Its totient is φ = 29931503616.

The previous prime is 100821936349. The next prime is 100821936403. The reversal of 100821936384 is 483639128001.

100821936384 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 2 + 1 + 9 + 3 + 638 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14526998784 + 86294937600 = 120528^2 + 293760^2 .

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 55 ways as a sum of consecutive naturals, for example, 70356532 + ... + 70357964.

It is an arithmetic number, because the mean of its divisors is an integer number (667434985).

Almost surely, 2^100821936384 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 100821936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168193616220).

100821936384 is an abundant number, since it is smaller than the sum of its proper divisors (235565296056).

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

100821936384 is an equidigital number, since it uses as much as digits as its factorization.

100821936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 100821936384 in words is "one hundred billion, eight hundred twenty-one million, nine hundred thirty-six thousand, three hundred eighty-four".