11105006061105 has 48 divisors (see below), whose sum is σ = 21007700797824. Its totient is φ = 5381900778240.

The previous prime is 11105006060989. The next prime is 11105006061133. The reversal of 11105006061105 is 50116060050111.

11105006061105 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 50 + 0 + 606 + 1 + 1 + 0 + 5 = 666.

It is not a de Polignac number, because 11105006061105 - 2⁸ = 11105006060849 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3746389 + ... + 6020418.

It is an arithmetic number, because the mean of its divisors is an integer number (437660433288).

Almost surely, 2^{11105006061105} is an apocalyptic number.

11105006061105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11105006061105 is a deficient number, since it is larger than the sum of its proper divisors (9902694736719).

11105006061105 is a wasteful number, since it uses less digits than its factorization.

11105006061105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769126 (or 9769123 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 11105006061105 in words is "eleven trillion, one hundred five billion, six million, sixty-one thousand, one hundred five".