100608662044800 has 3072 divisors, whose sum is σ = 478547704320000. Its totient is φ = 20045746667520.

The previous prime is 100608662044777. The next prime is 100608662044859. The reversal of 100608662044800 is 8440266806001.

100608662044800 is a `hidden beast` number, since 10 + 0 + 6 + 0 + 8 + 6 + 620 + 4 + 4 + 8 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56617141512 + ... + 56617143288.

It is an arithmetic number, because the mean of its divisors is an integer number (155777247500).

Almost surely, 2^{100608662044800} is an apocalyptic number.

100608662044800 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 100608662044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239273852160000).

100608662044800 is an abundant number, since it is smaller than the sum of its proper divisors (377939042275200).

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

100608662044800 is a wasteful number, since it uses less digits than its factorization.

100608662044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 100608662044800 in words is "one hundred trillion, six hundred eight billion, six hundred sixty-two million, forty-four thousand, eight hundred".