104312033280 has 1040 divisors, whose sum is σ = 460890401664. Its totient is φ = 21976842240.

The previous prime is 104312033233. The next prime is 104312033297. The reversal of 104312033280 is 82330213401.

104312033280 is a `hidden beast` number, since 1 + 0 + 431 + 203 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 150957735 + ... + 150958425.

Almost surely, 2^104312033280 is an apocalyptic number.

104312033280 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 104312033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230445200832).

104312033280 is an abundant number, since it is smaller than the sum of its proper divisors (356578368384).

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

104312033280 is an equidigital number, since it uses as much as digits as its factorization.

104312033280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 104312033280 its reverse (82330213401), we get a palindrome (186642246681).

The spelling of 104312033280 in words is "one hundred four billion, three hundred twelve million, thirty-three thousand, two hundred eighty".