109224 has 48 divisors (see below), whose sum is σ = 311220. Its totient is φ = 34560.

The previous prime is 109211. The next prime is 109229. The reversal of 109224 is 422901.

It can be written as a sum of positive squares in 2 ways, for example, as 108900 + 324 = 330^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 109197 and 109206.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 109224.

It is not an unprimeable number, because it can be changed into a prime (109229) by changing a digit.

109224 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, 2644 + ... + 2684.

2¹⁰⁹²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155610).

109224 is an abundant number, since it is smaller than the sum of its proper divisors (201996).

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

109224 is a wasteful number, since it uses less digits than its factorization.

109224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 109224 is about 330.4905444941. The cubic root of 109224 is about 47.8012616159.

It can be divided in two parts, 109 and 224, that added together give a palindrome (333).

The spelling of 109224 in words is "one hundred nine thousand, two hundred twenty-four".