104112040032 has 576 divisors, whose sum is σ = 404322347520. Its totient is φ = 24534835200.

The previous prime is 104112040013. The next prime is 104112040037. The reversal of 104112040032 is 230040211401.

104112040032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104112040032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104112039987 and 104112040014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104112040037) 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 95 ways as a sum of consecutive naturals, for example, 17005932 + ... + 17012052.

It is an arithmetic number, because the mean of its divisors is an integer number (701948520).

Almost surely, 2^104112040032 is an apocalyptic number.

104112040032 is a gapful number since it is divisible by the number (12) 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 104112040032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202161173760).

104112040032 is an abundant number, since it is smaller than the sum of its proper divisors (300210307488).

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

104112040032 is a wasteful number, since it uses less digits than its factorization.

104112040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6227 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 104112040032 its reverse (230040211401), we get a palindrome (334152251433).

The spelling of 104112040032 in words is "one hundred four billion, one hundred twelve million, forty thousand, thirty-two".