100680272 has 80 divisors (see below), whose sum is σ = 246841344. Its totient is φ = 38640000.

The previous prime is 100680247. The next prime is 100680301. The reversal of 100680272 is 272086001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86897 + ... + 88047.

Almost surely, 2^100680272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100680272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123420672).

100680272 is an abundant number, since it is smaller than the sum of its proper divisors (146161072).

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

100680272 is a wasteful number, since it uses less digits than its factorization.

100680272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 100680272 is about 10033.9559496741. The cubic root of 100680272 is about 465.2090199934.

The spelling of 100680272 in words is "one hundred million, six hundred eighty thousand, two hundred seventy-two".