100500661605600 has 432 divisors, whose sum is σ = 363504899197440. Its totient is φ = 26118974361600.

The previous prime is 100500661605587. The next prime is 100500661605689. The reversal of 100500661605600 is 6506166005001.

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 71 ways as a sum of consecutive naturals, for example, 46823137 + ... + 48922463.

It is an arithmetic number, because the mean of its divisors is an integer number (841446525920).

Almost surely, 2^{100500661605600} is an apocalyptic number.

100500661605600 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 100500661605600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181752449598720).

100500661605600 is an abundant number, since it is smaller than the sum of its proper divisors (263004237591840).

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

100500661605600 is a wasteful number, since it uses less digits than its factorization.

100500661605600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099523 (or 2099507 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 100500661605600 in words is "one hundred trillion, five hundred billion, six hundred sixty-one million, six hundred five thousand, six hundred".