104759984000 has 256 divisors, whose sum is σ = 315183623040. Its totient is φ = 33804288000.

The previous prime is 104759983987. The next prime is 104759984023. The reversal of 104759984000 is 489957401.

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 31 ways as a sum of consecutive naturals, for example, 1876490 + ... + 1931510.

Almost surely, 2^104759984000 is an apocalyptic number.

104759984000 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 104759984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157591811520).

104759984000 is an abundant number, since it is smaller than the sum of its proper divisors (210423639040).

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

104759984000 is an equidigital number, since it uses as much as digits as its factorization.

104759984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55074 (or 55052 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 104759984000 in words is "one hundred four billion, seven hundred fifty-nine million, nine hundred eighty-four thousand".