103224 has 64 divisors (see below), whose sum is σ = 311040. Its totient is φ = 28160.

The previous prime is 103217. The next prime is 103231. The reversal of 103224 is 422301.

103224 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (103217) and next prime (103231).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4477 + ... + 4499.

It is an arithmetic number, because the mean of its divisors is an integer number (4860).

2¹⁰³²²⁴ 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 103224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155520).

103224 is an abundant number, since it is smaller than the sum of its proper divisors (207816).

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

103224 is a wasteful number, since it uses less digits than its factorization.

103224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 103224 is about 321.2849202810. The cubic root of 103224 is about 46.9094378044.

Adding to 103224 its reverse (422301), we get a palindrome (525525).

The spelling of 103224 in words is "one hundred three thousand, two hundred twenty-four", and thus it is an iban number.