104791335600 has 240 divisors, whose sum is σ = 387159069440. Its totient is φ = 23732352000.

The previous prime is 104791335589. The next prime is 104791335619. The reversal of 104791335600 is 6533197401.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858375 + ... + 972825.

Almost surely, 2^104791335600 is an apocalyptic number.

104791335600 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 104791335600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193579534720).

104791335600 is an abundant number, since it is smaller than the sum of its proper divisors (282367733840).

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

104791335600 is a wasteful number, since it uses less digits than its factorization.

104791335600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114588 (or 114577 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

It can be divided in two parts, 104791 and 335600, that added together give a triangular number (440391 = T₉₃₈).

The spelling of 104791335600 in words is "one hundred four billion, seven hundred ninety-one million, three hundred thirty-five thousand, six hundred".