100628524800 has 432 divisors, whose sum is σ = 369972257760. Its totient is φ = 26763264000.

The previous prime is 100628524781. The next prime is 100628524877. The reversal of 100628524800 is 8425826001.

100628524800 is a `hidden beast` number, since 1 + 0 + 0 + 628 + 5 + 24 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×100628524800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114220360 + ... + 114221240.

Almost surely, 2^100628524800 is an apocalyptic number.

100628524800 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 100628524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184986128880).

100628524800 is an abundant number, since it is smaller than the sum of its proper divisors (269343732960).

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

100628524800 is an equidigital number, since it uses as much as digits as its factorization.

100628524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 100628524800 in words is "one hundred billion, six hundred twenty-eight million, five hundred twenty-four thousand, eight hundred".