2105563515136 has 81 divisors (see below), whose sum is σ = 4254831888601. Its totient is φ = 1039931205632.

The previous prime is 2105563515061. The next prime is 2105563515233. The reversal of 2105563515136 is 6315153655012.

The square root of 2105563515136 is 1451056.

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

It can be written as a sum of positive squares in only one way, i.e., 404312852736 + 1701250662400 = 635856^2 + 1304320^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2105563515092 and 2105563515101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2066303235 + ... + 2066304253.

Almost surely, 2^{2105563515136} is an apocalyptic number.

2105563515136 is the 1451056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105563515136

2105563515136 is an abundant number, since it is smaller than the sum of its proper divisors (2149268373465).

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

2105563515136 is an frugal number, since it uses more digits than its factorization.

2105563515136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 43.

The spelling of 2105563515136 in words is "two trillion, one hundred five billion, five hundred sixty-three million, five hundred fifteen thousand, one hundred thirty-six".