104224665600 has 1248 divisors, whose sum is σ = 438775488000. Its totient is φ = 24005836800.

The previous prime is 104224665583. The next prime is 104224665641. The reversal of 104224665600 is 6566422401.

104224665600 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 46 + 6 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 699494326 + ... + 699494474.

Almost surely, 2^104224665600 is an apocalyptic number.

104224665600 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 104224665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219387744000).

104224665600 is an abundant number, since it is smaller than the sum of its proper divisors (334550822400).

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

104224665600 is a wasteful number, since it uses less digits than its factorization.

104224665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

It can be divided in two parts, 1042 and 24665600, that added together give a palindrome (24666642).

The spelling of 104224665600 in words is "one hundred four billion, two hundred twenty-four million, six hundred sixty-five thousand, six hundred".