108224 has 28 divisors (see below), whose sum is σ = 228600. Its totient is φ = 50688.

The previous prime is 108223. The next prime is 108233. The reversal of 108224 is 422801.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (108223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1172 + ... + 1260.

2¹⁰⁸²²⁴ 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 108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114300).

108224 is an abundant number, since it is smaller than the sum of its proper divisors (120376).

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

108224 is an equidigital number, since it uses as much as digits as its factorization.

108224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 108224 is about 328.9741631192. The cubic root of 108224 is about 47.6549326967.

Adding to 108224 its sum of digits (17), we get a square (108241 = 329²).

The spelling of 108224 in words is "one hundred eight thousand, two hundred twenty-four".