434313100104 has 128 divisors (see below), whose sum is σ = 1243035158400. Its totient is φ = 125347737600.

The previous prime is 434313100073. The next prime is 434313100121. The reversal of 434313100104 is 401001313434.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236032 + ... + 961424.

It is an arithmetic number, because the mean of its divisors is an integer number (9711212175).

Almost surely, 2^434313100104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434313100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621517579200).

434313100104 is an abundant number, since it is smaller than the sum of its proper divisors (808722058296).

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

434313100104 is a wasteful number, since it uses less digits than its factorization.

434313100104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725535 (or 725531 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 434313100104 its reverse (401001313434), we get a palindrome (835314413538).

The spelling of 434313100104 in words is "four hundred thirty-four billion, three hundred thirteen million, one hundred thousand, one hundred four".