104224320 has 140 divisors (see below), whose sum is σ = 370836444. Its totient is φ = 27786240.

The previous prime is 104224283. The next prime is 104224343. The reversal of 104224320 is 23422401.

It can be written as a sum of positive squares in 2 ways, for example, as 19289664 + 84934656 = 4392^2 + 9216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104224293 and 104224302.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 23910 + ... + 27930.

Almost surely, 2^104224320 is an apocalyptic number.

104224320 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 104224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185418222).

104224320 is an abundant number, since it is smaller than the sum of its proper divisors (266612124).

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

104224320 is an equidigital number, since it uses as much as digits as its factorization.

104224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 104224320 is about 10209.0312958674. The cubic root of 104224320 is about 470.6048046127.

Adding to 104224320 its reverse (23422401), we get a palindrome (127646721).

The spelling of 104224320 in words is "one hundred four million, two hundred twenty-four thousand, three hundred twenty".