104042322400 has 72 divisors (see below), whose sum is σ = 254154514320. Its totient is φ = 41590517760.

The previous prime is 104042322367. The next prime is 104042322401. The reversal of 104042322400 is 4223240401.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104042322401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1245136 + ... + 1326064.

It is an arithmetic number, because the mean of its divisors is an integer number (3529923810).

Almost surely, 2^104042322400 is an apocalyptic number.

104042322400 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 104042322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127077257160).

104042322400 is an abundant number, since it is smaller than the sum of its proper divisors (150112191920).

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

104042322400 is a wasteful number, since it uses less digits than its factorization.

104042322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82556 (or 82543 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 104042322400 its reverse (4223240401), we get a palindrome (108265562801).

The spelling of 104042322400 in words is "one hundred four billion, forty-two million, three hundred twenty-two thousand, four hundred".