100080972 has 72 divisors (see below), whose sum is σ = 277149600. Its totient is φ = 30309888.

The previous prime is 100080971. The next prime is 100080977. The reversal of 100080972 is 279080001.

It is not an unprimeable number, because it can be changed into a prime (100080971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14929 + ... + 20567.

It is an arithmetic number, because the mean of its divisors is an integer number (3849300).

Almost surely, 2^100080972 is an apocalyptic number.

100080972 is a gapful number since it is divisible by the number (12) 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 100080972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138574800).

100080972 is an abundant number, since it is smaller than the sum of its proper divisors (177068628).

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

100080972 is a wasteful number, since it uses less digits than its factorization.

100080972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5690 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 100080972 is about 10004.0477807735. The cubic root of 100080972 is about 464.2841291397.

The spelling of 100080972 in words is "one hundred million, eighty thousand, nine hundred seventy-two".