103224224 has 48 divisors (see below), whose sum is σ = 215437320. Its totient is φ = 48599040.

The previous prime is 103224223. The next prime is 103224227. The reversal of 103224224 is 422422301.

It can be written as a sum of positive squares in 4 ways, for example, as 92544400 + 10679824 = 9620^2 + 3268^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103224196 and 103224205.

It is not an unprimeable number, because it can be changed into a prime (103224223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36692 + ... + 39404.

Almost surely, 2^103224224 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 103224224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107718660).

103224224 is an abundant number, since it is smaller than the sum of its proper divisors (112213096).

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

103224224 is a wasteful number, since it uses less digits than its factorization.

103224224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 103224224 is about 10159.9322832389. The cubic root of 103224224 is about 469.0947173611.

Adding to 103224224 its reverse (422422301), we get a palindrome (525646525).

The spelling of 103224224 in words is "one hundred three million, two hundred twenty-four thousand, two hundred twenty-four".