2105261706304 has 63 divisors (see below), whose sum is σ = 4242479227623. Its totient is φ = 1036536893568.

The previous prime is 2105261706299. The next prime is 2105261706367. The reversal of 2105261706304 is 4036071625012.

The square root of 2105261706304 is 1450952.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 777708919 + ... + 777711625.

It is an arithmetic number, because the mean of its divisors is an integer number (67340940121).

Almost surely, 2^{2105261706304} is an apocalyptic number.

2105261706304 is the 1450952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105261706304

2105261706304 is an abundant number, since it is smaller than the sum of its proper divisors (2137217521319).

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

2105261706304 is an frugal number, since it uses more digits than its factorization.

2105261706304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5560 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 2105261706304 in words is "two trillion, one hundred five billion, two hundred sixty-one million, seven hundred six thousand, three hundred four".