108540 has 60 divisors (see below), whose sum is σ = 345576. Its totient is φ = 28512.

The previous prime is 108533. The next prime is 108541. The reversal of 108540 is 45801.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108541) by changing a digit.

108540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1587 + ... + 1653.

2¹⁰⁸⁵⁴⁰ is an apocalyptic number.

108540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172788).

108540 is an abundant number, since it is smaller than the sum of its proper divisors (237036).

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

108540 is a wasteful number, since it uses less digits than its factorization.

108540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

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

The square root of 108540 is about 329.4540939190. The cubic root of 108540 is about 47.7012696945.

The spelling of 108540 in words is "one hundred eight thousand, five hundred forty".