100257576432 has 160 divisors (see below), whose sum is σ = 305513570880. Its totient is φ = 28032614400.

The previous prime is 100257576421. The next prime is 100257576443. The reversal of 100257576432 is 234675752001.

It is an interprime number because it is at equal distance from previous prime (100257576421) and next prime (100257576443).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144682 + ... + 470582.

It is an arithmetic number, because the mean of its divisors is an integer number (1909459818).

Almost surely, 2^100257576432 is an apocalyptic number.

100257576432 is a gapful number since it is divisible by the number (12) 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 100257576432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152756785440).

100257576432 is an abundant number, since it is smaller than the sum of its proper divisors (205255994448).

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

100257576432 is a wasteful number, since it uses less digits than its factorization.

100257576432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325971 (or 325965 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 100257576432 in words is "one hundred billion, two hundred fifty-seven million, five hundred seventy-six thousand, four hundred thirty-two".