109368 has 72 divisors (see below), whose sum is σ = 355680. Its totient is φ = 30240.

The previous prime is 109367. The next prime is 109379. The reversal of 109368 is 863901.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×109368² = 23922718848, which contains 22 as substring.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3513 + ... + 3543.

It is an arithmetic number, because the mean of its divisors is an integer number (4940).

2¹⁰⁹³⁶⁸ is an apocalyptic number.

109368 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 109368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177840).

109368 is an abundant number, since it is smaller than the sum of its proper divisors (246312).

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

109368 is a wasteful number, since it uses less digits than its factorization.

109368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 109368 is about 330.7083307085. The cubic root of 109368 is about 47.8222593176.

The spelling of 109368 in words is "one hundred nine thousand, three hundred sixty-eight".