104382205200 has 720 divisors, whose sum is σ = 462379322496. Its totient is φ = 22021632000.

The previous prime is 104382205171. The next prime is 104382205211. The reversal of 104382205200 is 2502283401.

104382205200 is a `hidden beast` number, since 1 + 0 + 43 + 82 + 20 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8839300 + ... + 8851100.

Almost surely, 2^104382205200 is an apocalyptic number.

104382205200 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 104382205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231189661248).

104382205200 is an abundant number, since it is smaller than the sum of its proper divisors (357997117296).

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

104382205200 is a wasteful number, since it uses less digits than its factorization.

104382205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11854 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 104382205200 its reverse (2502283401), we get a palindrome (106884488601).

The spelling of 104382205200 in words is "one hundred four billion, three hundred eighty-two million, two hundred five thousand, two hundred".