100224400 has 60 divisors (see below), whose sum is σ = 246431152. Its totient is φ = 39150720.

The previous prime is 100224391. The next prime is 100224497. The reversal of 100224400 is 4422001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14287 + ... + 20113.

Almost surely, 2^100224400 is an apocalyptic number.

100224400 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 100224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123215576).

100224400 is an abundant number, since it is smaller than the sum of its proper divisors (146206752).

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

100224400 is a wasteful number, since it uses less digits than its factorization.

100224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 100224400 is about 10011.2137126324. The cubic root of 100224400 is about 464.5058148306.

Adding to 100224400 its reverse (4422001), we get a palindrome (104646401).

The spelling of 100224400 in words is "one hundred million, two hundred twenty-four thousand, four hundred".