104000344000 has 448 divisors, whose sum is σ = 303551539200. Its totient is φ = 35280000000.

The previous prime is 104000343989. The next prime is 104000344009. The reversal of 104000344000 is 443000401.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104000344009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414343875 + ... + 414344125.

It is an arithmetic number, because the mean of its divisors is an integer number (677570400).

Almost surely, 2^104000344000 is an apocalyptic number.

104000344000 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 104000344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151775769600).

104000344000 is an abundant number, since it is smaller than the sum of its proper divisors (199551195200).

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

104000344000 is an equidigital number, since it uses as much as digits as its factorization.

104000344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 104000344000 its reverse (443000401), we get a palindrome (104443344401).

The spelling of 104000344000 in words is "one hundred four billion, three hundred forty-four thousand".