108414 has 24 divisors (see below), whose sum is σ = 248040. Its totient is φ = 34128.

The previous prime is 108413. The next prime is 108421. The reversal of 108414 is 414801.

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

It is a Curzon number.

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 108414.

It is not an unprimeable number, because it can be changed into a prime (108413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (10335).

2¹⁰⁸⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124020).

108414 is an abundant number, since it is smaller than the sum of its proper divisors (139626).

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

108414 is a wasteful number, since it uses less digits than its factorization.

108414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 108414 is about 329.2628129625. The cubic root of 108414 is about 47.6828043446.

The spelling of 108414 in words is "one hundred eight thousand, four hundred fourteen".