103224000 has 448 divisors, whose sum is σ = 410821632. Its totient is φ = 22528000.

The previous prime is 103223993. The next prime is 103224059. The reversal of 103224000 is 422301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4487989 + ... + 4488011.

Almost surely, 2^103224000 is an apocalyptic number.

103224000 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 103224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205410816).

103224000 is an abundant number, since it is smaller than the sum of its proper divisors (307597632).

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

103224000 is a wasteful number, since it uses less digits than its factorization.

103224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 61 counting only the distinct ones).

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

The square root of 103224000 is about 10159.9212595374. The cubic root of 103224000 is about 469.0943780438.

Adding to 103224000 its reverse (422301), we get a palindrome (103646301).

The spelling of 103224000 in words is "one hundred three million, two hundred twenty-four thousand".