108108 has 96 divisors (see below), whose sum is σ = 376320. Its totient is φ = 25920.

The previous prime is 108107. The next prime is 108109. The reversal of 108108 is 801801.

108108 = T₃₂ + T₃₃ + ... + T₈₇.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108107) and next prime (108109).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

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 108108.

It is not an unprimeable number, because it can be changed into a prime (108107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8310 + ... + 8322.

It is an arithmetic number, because the mean of its divisors is an integer number (3920).

2¹⁰⁸¹⁰⁸ is an apocalyptic number.

108108 is a gapful number since it is divisible by the number (18) 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 108108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160).

108108 is an abundant number, since it is smaller than the sum of its proper divisors (268212).

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

108108 is a wasteful number, since it uses less digits than its factorization.

108108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 108108 is about 328.7978102117. The cubic root of 108108 is about 47.6379002812.

108108 divided by its sum of digits (18) gives a palindrome (6006).

Adding to 108108 its reverse (801801), we get a palindrome (909909).

It can be divided in two parts, 108 and 108, that added together give a cube (216 = 6³).

The spelling of 108108 in words is "one hundred eight thousand, one hundred eight".