1161055101105 has 24 divisors (see below), whose sum is σ = 2014482256488. Its totient is φ = 618618080256.

The previous prime is 1161055101053. The next prime is 1161055101211. The reversal of 1161055101105 is 5011015501611.

1161055101105 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 0 + 551 + 0 + 1 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 279424656 + 1160775676449 = 16716^2 + 1077393^2 .

It is not a de Polignac number, because 1161055101105 - 2⁹ = 1161055100593 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12689472 + ... + 12780641.

It is an arithmetic number, because the mean of its divisors is an integer number (83936760687).

Almost surely, 2^{1161055101105} is an apocalyptic number.

1161055101105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1161055101105 is a deficient number, since it is larger than the sum of its proper divisors (853427155383).

1161055101105 is a wasteful number, since it uses less digits than its factorization.

1161055101105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25471137 (or 25471134 counting only the distinct ones).

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

The spelling of 1161055101105 in words is "one trillion, one hundred sixty-one billion, fifty-five million, one hundred one thousand, one hundred five".