100407628800 has 396 divisors, whose sum is σ = 362244792156. Its totient is φ = 26571571200.

The previous prime is 100407628691. The next prime is 100407628813. The reversal of 100407628800 is 8826704001.

It can be written as a sum of positive squares in 6 ways, for example, as 11956110336 + 88451518464 = 109344^2 + 297408^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31563210 + ... + 31566390.

Almost surely, 2^100407628800 is an apocalyptic number.

100407628800 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 100407628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181122396078).

100407628800 is an abundant number, since it is smaller than the sum of its proper divisors (261837163356).

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

100407628800 is a wasteful number, since it uses less digits than its factorization.

100407628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 100407628800 in words is "one hundred billion, four hundred seven million, six hundred twenty-eight thousand, eight hundred".