108336 has 40 divisors (see below), whose sum is σ = 292144. Its totient is φ = 34560.

The previous prime is 108301. The next prime is 108343. The reversal of 108336 is 633801.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

108336 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, 1746 + ... + 1806.

2¹⁰⁸³³⁶ is an apocalyptic number.

108336 is a gapful number since it is divisible by the number (16) 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 108336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146072).

108336 is an abundant number, since it is smaller than the sum of its proper divisors (183808).

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

108336 is a wasteful number, since it uses less digits than its factorization.

108336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 108336 is about 329.1443452347. The cubic root of 108336 is about 47.6713662430.

It can be divided in two parts, 108 and 336, that added together give a palindrome (444).

The spelling of 108336 in words is "one hundred eight thousand, three hundred thirty-six".