104994556800 has 768 divisors, whose sum is σ = 424547827200. Its totient is φ = 22259957760.

The previous prime is 104994556789. The next prime is 104994556801. The reversal of 104994556800 is 8655499401.

It is a super-2 number, since 2×104994556800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104994556801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83394571 + ... + 83395829.

It is an arithmetic number, because the mean of its divisors is an integer number (552796650).

Almost surely, 2^104994556800 is an apocalyptic number.

104994556800 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 104994556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212273913600).

104994556800 is an abundant number, since it is smaller than the sum of its proper divisors (319553270400).

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

104994556800 is a wasteful number, since it uses less digits than its factorization.

104994556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 104994556800 in words is "one hundred four billion, nine hundred ninety-four million, five hundred fifty-six thousand, eight hundred".