1161051015105 has 72 divisors (see below), whose sum is σ = 2088839955384. Its totient is φ = 596522880000.

The previous prime is 1161051015083. The next prime is 1161051015151. The reversal of 1161051015105 is 5015101501611.

1161051015105 is a `hidden beast` number, since 11 + 610 + 5 + 10 + 15 + 10 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 211706733456 + 949344281649 = 460116^2 + 974343^2 .

It is not a de Polignac number, because 1161051015105 - 2¹⁷ = 1161050884033 is a prime.

It is a super-2 number, since 2×1161051015105² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6128805 + ... + 6315405.

It is an arithmetic number, because the mean of its divisors is an integer number (29011666047).

Almost surely, 2^{1161051015105} is an apocalyptic number.

1161051015105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1161051015105 is a deficient number, since it is larger than the sum of its proper divisors (927788940279).

1161051015105 is a wasteful number, since it uses less digits than its factorization.

1161051015105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186787 (or 186747 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

Adding to 1161051015105 its reverse (5015101501611), we get a palindrome (6176152516716).

The spelling of 1161051015105 in words is "one trillion, one hundred sixty-one billion, fifty-one million, fifteen thousand, one hundred five".