108675 has 48 divisors (see below), whose sum is σ = 238080. Its totient is φ = 47520.

The previous prime is 108649. The next prime is 108677. The reversal of 108675 is 576801.

It is not a de Polignac number, because 108675 - 2⁵ = 108643 is a prime.

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

108675 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (108677) 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 47 ways as a sum of consecutive naturals, for example, 4714 + ... + 4736.

It is an arithmetic number, because the mean of its divisors is an integer number (4960).

2¹⁰⁸⁶⁷⁵ is an apocalyptic number.

108675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

108675 is an abundant number, since it is smaller than the sum of its proper divisors (129405).

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

108675 is a wasteful number, since it uses less digits than its factorization.

108675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 108675 is about 329.6589146375. The cubic root of 108675 is about 47.7210381467.

It can be divided in two parts, 108 and 675, that multiplied together give a square (72900 = 270²).

The spelling of 108675 in words is "one hundred eight thousand, six hundred seventy-five".