104397400800 has 1800 divisors, whose sum is σ = 492463058472. Its totient is φ = 21337344000.

The previous prime is 104397400777. The next prime is 104397400889. The reversal of 104397400800 is 8004793401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1800).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 1711432770 + ... + 1711432830.

Almost surely, 2^104397400800 is an apocalyptic number.

104397400800 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 104397400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246231529236).

104397400800 is an abundant number, since it is smaller than the sum of its proper divisors (388065657672).

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

104397400800 is an equidigital number, since it uses as much as digits as its factorization.

104397400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 104397400800 in words is "one hundred four billion, three hundred ninety-seven million, four hundred thousand, eight hundred".