108090 has 24 divisors (see below), whose sum is σ = 281268. Its totient is φ = 28800.

The previous prime is 108089. The next prime is 108107. The reversal of 108090 is 90801.

It can be written as a sum of positive squares in 2 ways, for example, as 88209 + 19881 = 297^2 + 141^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511 + ... + 690.

2¹⁰⁸⁰⁹⁰ is an apocalyptic number.

108090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108090 is an abundant number, since it is smaller than the sum of its proper divisors (173178).

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

108090 is a wasteful number, since it uses less digits than its factorization.

108090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 108090 is about 328.7704366271. The cubic root of 108090 is about 47.6352562283.

Adding to 108090 its reverse (90801), we get a palindrome (198891).

It can be divided in two parts, 10 and 8090, that added together give a square (8100 = 90²).

The spelling of 108090 in words is "one hundred eight thousand, ninety".