104420071728 has 400 divisors, whose sum is σ = 353902348800. Its totient is φ = 29711235456.

The previous prime is 104420071687. The next prime is 104420071733. The reversal of 104420071728 is 827170024401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104420071692 and 104420071701.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 207594325 + ... + 207594827.

It is an arithmetic number, because the mean of its divisors is an integer number (884755872).

Almost surely, 2^104420071728 is an apocalyptic number.

104420071728 is a gapful number since it is divisible by the number (18) 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 104420071728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176951174400).

104420071728 is an abundant number, since it is smaller than the sum of its proper divisors (249482277072).

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

104420071728 is an equidigital number, since it uses as much as digits as its factorization.

104420071728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 104420071728 in words is "one hundred four billion, four hundred twenty million, seventy-one thousand, seven hundred twenty-eight".