100639468800 has 324 divisors, whose sum is σ = 387489298924. Its totient is φ = 24772608000.

The previous prime is 100639468799. The next prime is 100639468829. The reversal of 100639468800 is 8864936001.

100639468800 is a `hidden beast` number, since 1 + 0 + 0 + 639 + 4 + 6 + 8 + 8 + 0 + 0 = 666.

100639468800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8204011776 + 92435457024 = 90576^2 + 304032^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 681600 + ... + 816000.

Almost surely, 2^100639468800 is an apocalyptic number.

100639468800 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 100639468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193744649462).

100639468800 is an abundant number, since it is smaller than the sum of its proper divisors (286849830124).

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

100639468800 is a wasteful number, since it uses less digits than its factorization.

100639468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134446 (or 134424 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 100639468800 in words is "one hundred billion, six hundred thirty-nine million, four hundred sixty-eight thousand, eight hundred".