100807272 has 48 divisors (see below), whose sum is σ = 278181540. Its totient is φ = 32967168.

The previous prime is 100807261. The next prime is 100807279. The reversal of 100807272 is 272708001.

It can be written as a sum of positive squares in 2 ways, for example, as 100280196 + 527076 = 10014^2 + 726^2 .

It is not an unprimeable number, because it can be changed into a prime (100807279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9393 + ... + 17024.

Almost surely, 2^100807272 is an apocalyptic number.

100807272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100807272 is an abundant number, since it is smaller than the sum of its proper divisors (177374268).

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

100807272 is a wasteful number, since it uses less digits than its factorization.

100807272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26482 (or 26475 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 100807272 is about 10040.2824661461. The cubic root of 100807272 is about 465.4045456231.

The spelling of 100807272 in words is "one hundred million, eight hundred seven thousand, two hundred seventy-two".