108133272 has 128 divisors (see below), whose sum is σ = 327633600. Its totient is φ = 32845824.

The previous prime is 108133271. The next prime is 108133349. The reversal of 108133272 is 272331801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108133271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272178 + ... + 272574.

Almost surely, 2^108133272 is an apocalyptic number.

108133272 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 108133272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163816800).

108133272 is an abundant number, since it is smaller than the sum of its proper divisors (219500328).

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

108133272 is a wasteful number, since it uses less digits than its factorization.

108133272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 108133272 is about 10398.7149206044. The cubic root of 108133272 is about 476.4161203613.

The spelling of 108133272 in words is "one hundred eight million, one hundred thirty-three thousand, two hundred seventy-two".