2100434304 has 64 divisors (see below), whose sum is σ = 5649984000. Its totient is φ = 691272192.

The previous prime is 2100434293. The next prime is 2100434321. The reversal of 2100434304 is 4034340012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4284 + ... + 64955.

It is an arithmetic number, because the mean of its divisors is an integer number (88281000).

Almost surely, 2^2100434304 is an apocalyptic number.

2100434304 is a gapful number since it is divisible by the number (24) 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 2100434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824992000).

2100434304 is an abundant number, since it is smaller than the sum of its proper divisors (3549549696).

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

2100434304 is an equidigital number, since it uses as much as digits as its factorization.

2100434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69335 (or 69323 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2100434304 is about 45830.4953497123. The cubic root of 2100434304 is about 1280.6674383713.

Adding to 2100434304 its reverse (4034340012), we get a palindrome (6134774316).

The spelling of 2100434304 in words is "two billion, one hundred million, four hundred thirty-four thousand, three hundred four".