108972 has 24 divisors (see below), whose sum is σ = 282800. Its totient is φ = 36288.

The previous prime is 108971. The next prime is 108991. The reversal of 108972 is 279801.

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

108972 is a modest number, since divided by 972 gives 108 as remainder.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (108971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397 + ... + 612.

2¹⁰⁸⁹⁷² is an apocalyptic number.

108972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

108972 is an abundant number, since it is smaller than the sum of its proper divisors (173828).

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

108972 is a wasteful number, since it uses less digits than its factorization.

108972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 108972 is about 330.1090728835. The cubic root of 108972 is about 47.7644711857.

It can be divided in two parts, 108 and 972, that multiplied together give a 4-th power (104976 = 18⁴).

The spelling of 108972 in words is "one hundred eight thousand, nine hundred seventy-two".