108872 has 16 divisors (see below), whose sum is σ = 211200. Its totient is φ = 52560.

The previous prime is 108869. The next prime is 108877. The reversal of 108872 is 278801.

108872 = T₈₃ + T₈₄ + ... + T₁₀₆.

It is a super-2 number, since 2×108872² = 23706224768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (108877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (13200).

2¹⁰⁸⁸⁷² is an apocalyptic number.

It is an amenable number.

108872 is a deficient number, since it is larger than the sum of its proper divisors (102328).

108872 is a wasteful number, since it uses less digits than its factorization.

108872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 108872 is about 329.9575730302. The cubic root of 108872 is about 47.7498560890.

The spelling of 108872 in words is "one hundred eight thousand, eight hundred seventy-two".