103224220 has 96 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 35946240.

The previous prime is 103224211. The next prime is 103224223. The reversal of 103224220 is 22422301.

It is a junction number, because it is equal to n+sod(n) for n = 103224194 and 103224203.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692706 + ... + 692854.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^103224220 is an apocalyptic number.

103224220 is a gapful number since it is divisible by the number (10) 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 103224220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

103224220 is an abundant number, since it is smaller than the sum of its proper divisors (143534180).

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

103224220 is a wasteful number, since it uses less digits than its factorization.

103224220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 103224220 is about 10159.9320863872. The cubic root of 103224220 is about 469.0947113019.

Adding to 103224220 its reverse (22422301), we get a palindrome (125646521).

It can be divided in two parts, 1032 and 24220, that added together give a palindrome (25252).

The spelling of 103224220 in words is "one hundred three million, two hundred twenty-four thousand, two hundred twenty".