1105717443961 has 27 divisors (see below), whose sum is σ = 1224043389453. Its totient is φ = 998365592640.

The previous prime is 1105717443949. The next prime is 1105717444003. The reversal of 1105717443961 is 1693447175011.

The square root of 1105717443961 is 1051531.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22128050025 + 1083589393936 = 148755^2 + 1040956^2 .

It is not a de Polignac number, because 1105717443961 - 2²⁵ = 1105683889529 is a prime.

It is a super-2 number, since 2×1105717443961² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1105717443661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 642484581 + ... + 642486301.

Almost surely, 2^{1105717443961} is an apocalyptic number.

1105717443961 is the 1051531-st square number.

1105717443961 is the 525766-th centered octagonal number.

It is an amenable number.

1105717443961 is a deficient number, since it is larger than the sum of its proper divisors (118325945492).

1105717443961 is an frugal number, since it uses more digits than its factorization.

1105717443961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

Multiplying 1105717443961 by its sum of digits (49), we get a square (54180154754089 = 7360717²).

The spelling of 1105717443961 in words is "one trillion, one hundred five billion, seven hundred seventeen million, four hundred forty-three thousand, nine hundred sixty-one".