104434210334300 has 288 divisors, whose sum is σ = 294035150545920. Its totient is φ = 31240271462400.

The previous prime is 104434210334273. The next prime is 104434210334339. The reversal of 104434210334300 is 3433012434401.

104434210334300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35890844 + ... + 38691356.

It is an arithmetic number, because the mean of its divisors is an integer number (1020955383840).

Almost surely, 2^{104434210334300} is an apocalyptic number.

104434210334300 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 104434210334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147017575272960).

104434210334300 is an abundant number, since it is smaller than the sum of its proper divisors (189600940211620).

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

104434210334300 is a wasteful number, since it uses less digits than its factorization.

104434210334300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800741 (or 2800734 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 104434210334300 its reverse (3433012434401), we get a palindrome (107867222768701).

The spelling of 104434210334300 in words is "one hundred four trillion, four hundred thirty-four billion, two hundred ten million, three hundred thirty-four thousand, three hundred".