1106610166011 has 12 divisors (see below), whose sum is σ = 1716374951592. Its totient is φ = 632348666208.

The previous prime is 1106610166009. The next prime is 1106610166021.

1106610166011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1106610166011 - 2¹ = 1106610166009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1106610166011.

It is not an unprimeable number, because it can be changed into a prime (1106610166021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3763980010 + ... + 3763980303.

It is an arithmetic number, because the mean of its divisors is an integer number (143031245966).

Almost surely, 2^{1106610166011} is an apocalyptic number.

1106610166011 is a deficient number, since it is larger than the sum of its proper divisors (609764785581).

1106610166011 is an equidigital number, since it uses as much as digits as its factorization.

1106610166011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7527960330 (or 7527960323 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 1106610166011 in words is "one trillion, one hundred six billion, six hundred ten million, one hundred sixty-six thousand, eleven".