100457756384 has 72 divisors (see below), whose sum is σ = 212712048360. Its totient is φ = 46572178176.

The previous prime is 100457756353. The next prime is 100457756401. The reversal of 100457756384 is 483657754001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1305674 + ... + 1380470.

It is an arithmetic number, because the mean of its divisors is an integer number (2954334005).

Almost surely, 2^100457756384 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 100457756384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106356024180).

100457756384 is an abundant number, since it is smaller than the sum of its proper divisors (112254291976).

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

100457756384 is an equidigital number, since it uses as much as digits as its factorization.

100457756384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74920 (or 74865 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 100457756384 in words is "one hundred billion, four hundred fifty-seven million, seven hundred fifty-six thousand, three hundred eighty-four".