108271872 has 54 divisors (see below), whose sum is σ = 312181142. Its totient is φ = 36089856.

The previous prime is 108271859. The next prime is 108271873. The reversal of 108271872 is 278172801.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 43243776 = 8064^2 + 6576^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (108271873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21193 + ... + 25800.

Almost surely, 2^108271872 is an apocalyptic number.

108271872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

108271872 is an abundant number, since it is smaller than the sum of its proper divisors (203909270).

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

108271872 is an equidigital number, since it uses as much as digits as its factorization.

108271872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47015 (or 46998 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 108271872 is about 10405.3770714953. The cubic root of 108271872 is about 476.6195825065.

The spelling of 108271872 in words is "one hundred eight million, two hundred seventy-one thousand, eight hundred seventy-two".