104430334332132 has 288 divisors, whose sum is σ = 277134675199200. Its totient is φ = 33121203388416.

The previous prime is 104430334332019. The next prime is 104430334332133. The reversal of 104430334332132 is 231233433034401.

104430334332132 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 3 + 0 + 3 + 3 + 433 + 213 + 2 = 666.

104430334332132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 42742096609536 + 61688237722596 = 6537744^2 + 7854186^2 .

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

It is not an unprimeable number, because it can be changed into a prime (104430334332133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32953717044 + ... + 32953720212.

It is an arithmetic number, because the mean of its divisors is an integer number (962273177775).

Almost surely, 2^{104430334332132} is an apocalyptic number.

104430334332132 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 104430334332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138567337599600).

104430334332132 is an abundant number, since it is smaller than the sum of its proper divisors (172704340867068).

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

104430334332132 is a wasteful number, since it uses less digits than its factorization.

104430334332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 104430334332132 its reverse (231233433034401), we get a palindrome (335663767366533).

The spelling of 104430334332132 in words is "one hundred four trillion, four hundred thirty billion, three hundred thirty-four million, three hundred thirty-two thousand, one hundred thirty-two".