11106005060561 has 16 divisors (see below), whose sum is σ = 11212269191760. Its totient is φ = 11000245616640.

The previous prime is 11106005060551. The next prime is 11106005060597. The reversal of 11106005060561 is 16506050060111.

11106005060561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 325493070400 + 10780511990161 = 570520^2 + 3283369^2 .

It is a cyclic number.

It is not a de Polignac number, because 11106005060561 - 2³⁸ = 10831127153617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11106005060531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691653245 + ... + 691669301.

It is an arithmetic number, because the mean of its divisors is an integer number (700766824485).

Almost surely, 2^{11106005060561} is an apocalyptic number.

It is an amenable number.

11106005060561 is a deficient number, since it is larger than the sum of its proper divisors (106264131199).

11106005060561 is a wasteful number, since it uses less digits than its factorization.

11106005060561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31364.

The product of its (nonzero) digits is 5400, while the sum is 32.

The spelling of 11106005060561 in words is "eleven trillion, one hundred six billion, five million, sixty thousand, five hundred sixty-one".