108150 has 48 divisors (see below), whose sum is σ = 309504. Its totient is φ = 24480.

The previous prime is 108139. The next prime is 108161. The reversal of 108150 is 51801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108139) and next prime (108161).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108150.

It is an unprimeable number.

108150 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 23 ways as a sum of consecutive naturals, for example, 999 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (6448).

2¹⁰⁸¹⁵⁰ is an apocalyptic number.

108150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154752).

108150 is an abundant number, since it is smaller than the sum of its proper divisors (201354).

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

108150 is a wasteful number, since it uses less digits than its factorization.

108150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 108150 is about 328.8616730481. The cubic root of 108150 is about 47.6440685967.

Adding to 108150 its reverse (51801), we get a palindrome (159951).

The spelling of 108150 in words is "one hundred eight thousand, one hundred fifty".