108168 has 16 divisors (see below), whose sum is σ = 270480. Its totient is φ = 36048.

The previous prime is 108161. The next prime is 108179. The reversal of 108168 is 861801.

108168 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4507 = 108168 / (1 + 0 + 8 + 1 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (108161) by changing a digit.

108168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2230 + ... + 2277.

It is an arithmetic number, because the mean of its divisors is an integer number (16905).

2¹⁰⁸¹⁶⁸ is an apocalyptic number.

It is an amenable number.

108168 is an abundant number, since it is smaller than the sum of its proper divisors (162312).

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

108168 is a wasteful number, since it uses less digits than its factorization.

108168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 108168 is about 328.8890390390. The cubic root of 108168 is about 47.6467116716.

Adding to 108168 its reverse (861801), we get a palindrome (969969).

It can be divided in two parts, 108 and 168, that added together give a triangular number (276 = T₂₃).

The spelling of 108168 in words is "one hundred eight thousand, one hundred sixty-eight".