100991162720 has 96 divisors (see below), whose sum is σ = 274046976000. Its totient is φ = 34451467776.

The previous prime is 100991162719. The next prime is 100991162759. The reversal of 100991162720 is 27261199001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3680 + ... + 449439.

It is an arithmetic number, because the mean of its divisors is an integer number (2854656000).

Almost surely, 2^100991162720 is an apocalyptic number.

100991162720 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 100991162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137023488000).

100991162720 is an abundant number, since it is smaller than the sum of its proper divisors (173055813280).

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

100991162720 is a wasteful number, since it uses less digits than its factorization.

100991162720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453340 (or 453332 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 38.

The spelling of 100991162720 in words is "one hundred billion, nine hundred ninety-one million, one hundred sixty-two thousand, seven hundred twenty".