100557512000 has 224 divisors, whose sum is σ = 272197860480. Its totient is φ = 36495360000.

The previous prime is 100557511973. The next prime is 100557512009. The reversal of 100557512000 is 215755001.

It is a happy number.

It is a super-2 number, since 2×100557512000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100557512009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 71367296 + ... + 71368704.

It is an arithmetic number, because the mean of its divisors is an integer number (1215169020).

Almost surely, 2^100557512000 is an apocalyptic number.

100557512000 is a gapful number since it is divisible by the number (10) 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 100557512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136098930240).

100557512000 is an abundant number, since it is smaller than the sum of its proper divisors (171640348480).

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

100557512000 is a wasteful number, since it uses less digits than its factorization.

100557512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 26.

The spelling of 100557512000 in words is "one hundred billion, five hundred fifty-seven million, five hundred twelve thousand".