104068324800 has 1008 divisors, whose sum is σ = 427609853440. Its totient is φ = 24588748800.

The previous prime is 104068324777. The next prime is 104068324853. The reversal of 104068324800 is 8423860401.

104068324800 is a `hidden beast` number, since 1 + 0 + 406 + 8 + 3 + 248 + 0 + 0 = 666.

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

It is a congruent number.

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, 224769369 + ... + 224769831.

Almost surely, 2^104068324800 is an apocalyptic number.

104068324800 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 104068324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213804926720).

104068324800 is an abundant number, since it is smaller than the sum of its proper divisors (323541528640).

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

104068324800 is a wasteful number, since it uses less digits than its factorization.

104068324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 104068324800 in words is "one hundred four billion, sixty-eight million, three hundred twenty-four thousand, eight hundred".