100729712160 has 576 divisors, whose sum is σ = 442893830400. Its totient is φ = 20930088960.

The previous prime is 100729712159. The next prime is 100729712197. The reversal of 100729712160 is 61217927001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3645276 + ... + 3672804.

It is an arithmetic number, because the mean of its divisors is an integer number (768912900).

Almost surely, 2^100729712160 is an apocalyptic number.

100729712160 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 100729712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221446915200).

100729712160 is an abundant number, since it is smaller than the sum of its proper divisors (342164118240).

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

100729712160 is a wasteful number, since it uses less digits than its factorization.

100729712160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27582 (or 27557 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 100729712160 in words is "one hundred billion, seven hundred twenty-nine million, seven hundred twelve thousand, one hundred sixty".