104334318240 has 192 divisors, whose sum is σ = 334381001472. Its totient is φ = 27340185600.

The previous prime is 104334318223. The next prime is 104334318247. The reversal of 104334318240 is 42813433401.

It is not an unprimeable number, because it can be changed into a prime (104334318247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10662150 + ... + 10671930.

It is an arithmetic number, because the mean of its divisors is an integer number (1741567716).

Almost surely, 2^104334318240 is an apocalyptic number.

104334318240 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 104334318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167190500736).

104334318240 is an abundant number, since it is smaller than the sum of its proper divisors (230046683232).

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

104334318240 is a wasteful number, since it uses less digits than its factorization.

104334318240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183 (or 10175 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 104334318240 in words is "one hundred four billion, three hundred thirty-four million, three hundred eighteen thousand, two hundred forty".