109296 has 80 divisors (see below), whose sum is σ = 357120. Its totient is φ = 31680.

The previous prime is 109279. The next prime is 109297. The reversal of 109296 is 692901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4741 + ... + 4763.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2¹⁰⁹²⁹⁶ is an apocalyptic number.

109296 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 109296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560).

109296 is an abundant number, since it is smaller than the sum of its proper divisors (247824).

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

109296 is a wasteful number, since it uses less digits than its factorization.

109296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 109296 is about 330.5994555349. The cubic root of 109296 is about 47.8117627722.

The spelling of 109296 in words is "one hundred nine thousand, two hundred ninety-six".