108468 has 36 divisors (see below), whose sum is σ = 288288. Its totient is φ = 34320.

The previous prime is 108463. The next prime is 108497. The reversal of 108468 is 864801.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108461) by changing a digit.

108468 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 11 ways as a sum of consecutive naturals, for example, 763 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (8008).

2¹⁰⁸⁴⁶⁸ is an apocalyptic number.

108468 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 108468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144).

108468 is an abundant number, since it is smaller than the sum of its proper divisors (179820).

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

108468 is a wasteful number, since it uses less digits than its factorization.

108468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108468 is about 329.3448041187. The cubic root of 108468 is about 47.6907198169.

It can be divided in two parts, 10846 and 8, that multiplied together give a palindrome (86768).

The spelling of 108468 in words is "one hundred eight thousand, four hundred sixty-eight".