2105713300 has 72 divisors (see below), whose sum is σ = 4648061880. Its totient is φ = 827904000.

The previous prime is 2105713283. The next prime is 2105713333. The reversal of 2105713300 is 33175012.

It can be written as a sum of positive squares in 12 ways, for example, as 981318276 + 1124395024 = 31326^2 + 33532^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1752700 + ... + 1753900.

It is an arithmetic number, because the mean of its divisors is an integer number (64556415).

Almost surely, 2^2105713300 is an apocalyptic number.

2105713300 is a gapful number since it is divisible by the number (20) 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 2105713300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324030940).

2105713300 is an abundant number, since it is smaller than the sum of its proper divisors (2542348580).

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

2105713300 is a wasteful number, since it uses less digits than its factorization.

2105713300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 2105713300 is about 45888.0518217978. The cubic root of 2105713300 is about 1281.7394360936.

Adding to 2105713300 its reverse (33175012), we get a palindrome (2138888312).

The spelling of 2105713300 in words is "two billion, one hundred five million, seven hundred thirteen thousand, three hundred".