108945 has 20 divisors (see below), whose sum is σ = 196020. Its totient is φ = 57888.

The previous prime is 108943. The next prime is 108947. The reversal of 108945 is 549801.

It is an interprime number because it is at equal distance from previous prime (108943) and next prime (108947).

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 88209 = 144^2 + 297^2 .

It is not a de Polignac number, because 108945 - 2¹ = 108943 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (108943) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 271 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (9801).

2¹⁰⁸⁹⁴⁵ is an apocalyptic number.

108945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108945 is a deficient number, since it is larger than the sum of its proper divisors (87075).

108945 is an equidigital number, since it uses as much as digits as its factorization.

108945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 108945 is about 330.0681747761. The cubic root of 108945 is about 47.7605259910.

The spelling of 108945 in words is "one hundred eight thousand, nine hundred forty-five".