100439408160 has 2304 divisors, whose sum is σ = 495178790400. Its totient is φ = 18728091648.

The previous prime is 100439408137. The next prime is 100439408161. The reversal of 100439408160 is 61804934001.

100439408160 is a `hidden beast` number, since 100 + 4 + 394 + 0 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100439408161) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 888844264 + ... + 888844376.

It is an arithmetic number, because the mean of its divisors is an integer number (214921350).

Almost surely, 2^100439408160 is an apocalyptic number.

100439408160 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 100439408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247589395200).

100439408160 is an abundant number, since it is smaller than the sum of its proper divisors (394739382240).

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

100439408160 is a wasteful number, since it uses less digits than its factorization.

100439408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 100439408160 in words is "one hundred billion, four hundred thirty-nine million, four hundred eight thousand, one hundred sixty".