100166240160 has 576 divisors, whose sum is σ = 418686008832. Its totient is φ = 21305991168.

The previous prime is 100166240131. The next prime is 100166240173. The reversal of 100166240160 is 61042661001.

100166240160 is a `hidden beast` number, since 10 + 0 + 16 + 624 + 0 + 16 + 0 = 666.

100166240160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8572242 + ... + 8583918.

It is an arithmetic number, because the mean of its divisors is an integer number (726885432).

Almost surely, 2^100166240160 is an apocalyptic number.

100166240160 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 100166240160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209343004416).

100166240160 is an abundant number, since it is smaller than the sum of its proper divisors (318519768672).

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

100166240160 is a wasteful number, since it uses less digits than its factorization.

100166240160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11765 (or 11754 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 100166240160 in words is "one hundred billion, one hundred sixty-six million, two hundred forty thousand, one hundred sixty".