103224100 has 72 divisors (see below), whose sum is σ = 257483520. Its totient is φ = 35185920.

The previous prime is 103224059. The next prime is 103224113. The reversal of 103224100 is 1422301.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 166992 + ... + 167608.

It is an arithmetic number, because the mean of its divisors is an integer number (3576160).

Almost surely, 2^103224100 is an apocalyptic number.

103224100 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 103224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128741760).

103224100 is an abundant number, since it is smaller than the sum of its proper divisors (154259420).

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

103224100 is a wasteful number, since it uses less digits than its factorization.

103224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 103224100 is about 10159.9261808342. The cubic root of 103224100 is about 469.0945295248.

Adding to 103224100 its reverse (1422301), we get a palindrome (104646401).

The spelling of 103224100 in words is "one hundred three million, two hundred twenty-four thousand, one hundred".