1106005605505 has 32 divisors (see below), whose sum is σ = 1409885533440. Its totient is φ = 830029455360.

The previous prime is 1106005605491. The next prime is 1106005605527. The reversal of 1106005605505 is 5055065006011.

It is not a de Polignac number, because 1106005605505 - 2⁷ = 1106005605377 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54658740 + ... + 54678970.

It is an arithmetic number, because the mean of its divisors is an integer number (44058922920).

Almost surely, 2^{1106005605505} is an apocalyptic number.

It is an amenable number.

1106005605505 is a deficient number, since it is larger than the sum of its proper divisors (303879927935).

1106005605505 is a wasteful number, since it uses less digits than its factorization.

1106005605505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22329.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 1106005605505 in words is "one trillion, one hundred six billion, five million, six hundred five thousand, five hundred five".