104023204200 has 288 divisors, whose sum is σ = 355779442200. Its totient is φ = 27232174080.

The previous prime is 104023204147. The next prime is 104023204213. The reversal of 104023204200 is 2402320401.

104023204200 is a `hidden beast` number, since 10 + 4 + 0 + 232 + 0 + 420 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4620464676 + 99402739524 = 67974^2 + 315282^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30088872 + ... + 30092328.

Almost surely, 2^104023204200 is an apocalyptic number.

104023204200 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 104023204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177889721100).

104023204200 is an abundant number, since it is smaller than the sum of its proper divisors (251756238000).

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

104023204200 is a wasteful number, since it uses less digits than its factorization.

104023204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3769 counting only the distinct ones).

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

Adding to 104023204200 its reverse (2402320401), we get a palindrome (106425524601).

The spelling of 104023204200 in words is "one hundred four billion, twenty-three million, two hundred four thousand, two hundred".