104213442432 has 256 divisors, whose sum is σ = 321046778880. Its totient is φ = 29601300480.

The previous prime is 104213442349. The next prime is 104213442457. The reversal of 104213442432 is 234244312401.

It is a self number, because there is not a number n which added to its sum of digits gives 104213442432.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18451833 + ... + 18457479.

It is an arithmetic number, because the mean of its divisors is an integer number (1254088980).

Almost surely, 2^104213442432 is an apocalyptic number.

104213442432 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 104213442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160523389440).

104213442432 is an abundant number, since it is smaller than the sum of its proper divisors (216833336448).

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

104213442432 is a wasteful number, since it uses less digits than its factorization.

104213442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5949 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 104213442432 its reverse (234244312401), we get a palindrome (338457754833).

It can be divided in two parts, 104213 and 442432, that added together give a palindrome (546645).

The spelling of 104213442432 in words is "one hundred four billion, two hundred thirteen million, four hundred forty-two thousand, four hundred thirty-two".