100208272 has 20 divisors (see below), whose sum is σ = 194640940. Its totient is φ = 49978368.

The previous prime is 100208209. The next prime is 100208279. The reversal of 100208272 is 272802001.

It can be written as a sum of positive squares in 2 ways, for example, as 35952016 + 64256256 = 5996^2 + 8016^2 .

It is not an unprimeable number, because it can be changed into a prime (100208279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1113 + ... + 14200.

It is an arithmetic number, because the mean of its divisors is an integer number (9732047).

Almost surely, 2^100208272 is an apocalyptic number.

It is an amenable number.

100208272 is a deficient number, since it is larger than the sum of its proper divisors (94432668).

100208272 is a wasteful number, since it uses less digits than its factorization.

100208272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15730 (or 15724 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 100208272 is about 10010.4081834858. The cubic root of 100208272 is about 464.4808975727.

The spelling of 100208272 in words is "one hundred million, two hundred eight thousand, two hundred seventy-two".