100996272 has 60 divisors (see below), whose sum is σ = 304397184. Its totient is φ = 31075200.

The previous prime is 100996253. The next prime is 100996277. The reversal of 100996272 is 272699001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100996277) 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, 25104 + ... + 28847.

Almost surely, 2^100996272 is an apocalyptic number.

100996272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100996272 is an abundant number, since it is smaller than the sum of its proper divisors (203400912).

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

100996272 is a wasteful number, since it uses less digits than its factorization.

100996272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53978 (or 53969 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 100996272 is about 10049.6901444771. The cubic root of 100996272 is about 465.6952208975.

The spelling of 100996272 in words is "one hundred million, nine hundred ninety-six thousand, two hundred seventy-two".