108500 has 48 divisors (see below), whose sum is σ = 279552. Its totient is φ = 36000.

The previous prime is 108499. The next prime is 108503. The reversal of 108500 is 5801.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3485 + ... + 3515.

It is an arithmetic number, because the mean of its divisors is an integer number (5824).

2¹⁰⁸⁵⁰⁰ is an apocalyptic number.

108500 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 108500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139776).

108500 is an abundant number, since it is smaller than the sum of its proper divisors (171052).

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

108500 is a wasteful number, since it uses less digits than its factorization.

108500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 108500 is about 329.3933818400. The cubic root of 108500 is about 47.6954092276.

108500 divided by its sum of digits (14) gives a triangular number (7750 = T₁₂₄).

The spelling of 108500 in words is "one hundred eight thousand, five hundred".