104300041824 has 192 divisors, whose sum is σ = 339582862080. Its totient is φ = 30870927360.

The previous prime is 104300041799. The next prime is 104300041829. The reversal of 104300041824 is 428140003401.

It is a super-3 number, since 3×104300041824³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104300041829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281064 + ... + 536280.

It is an arithmetic number, because the mean of its divisors is an integer number (1768660740).

Almost surely, 2^104300041824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104300041824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169791431040).

104300041824 is an abundant number, since it is smaller than the sum of its proper divisors (235282820256).

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

104300041824 is a wasteful number, since it uses less digits than its factorization.

104300041824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255290 (or 255276 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 104300041824 in words is "one hundred four billion, three hundred million, forty-one thousand, eight hundred twenty-four".