108045 has 30 divisors (see below), whose sum is σ = 218478. Its totient is φ = 49392.

The previous prime is 108041. The next prime is 108061. The reversal of 108045 is 540801.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 21609 = 294^2 + 147^2 .

It is not a de Polignac number, because 108045 - 2² = 108041 is a prime.

It is a Curzon number.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108041) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15432 + ... + 15438.

2¹⁰⁸⁰⁴⁵ is an apocalyptic number.

108045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

108045 is an abundant number, since it is smaller than the sum of its proper divisors (110433).

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

108045 is an frugal number, since it uses more digits than its factorization.

108045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 108045 is about 328.7019926925. The cubic root of 108045 is about 47.6286448117.

Adding to 108045 its reverse (540801), we get a palindrome (648846).

The spelling of 108045 in words is "one hundred eight thousand, forty-five".