108114 has 16 divisors (see below), whose sum is σ = 222528. Its totient is φ = 34992.

The previous prime is 108109. The next prime is 108127. The reversal of 108114 is 411801.

It is a junction number, because it is equal to n+sod(n) for n = 108093 and 108102.

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 108114.

It is an unprimeable number.

108114 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 7 ways as a sum of consecutive naturals, for example, 22 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (13908).

2¹⁰⁸¹¹⁴ is an apocalyptic number.

108114 is an abundant number, since it is smaller than the sum of its proper divisors (114414).

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

108114 is a wasteful number, since it uses less digits than its factorization.

108114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 108114 is about 328.8069342334. The cubic root of 108114 is about 47.6387815669.

Adding to 108114 its reverse (411801), we get a palindrome (519915).

It can be divided in two parts, 108 and 114, that added together give a palindrome (222).

The spelling of 108114 in words is "one hundred eight thousand, one hundred fourteen".