1106006055561 has 64 divisors (see below), whose sum is σ = 1865665751040. Its totient is φ = 641003267520.

The previous prime is 1106006055521. The next prime is 1106006055571. The reversal of 1106006055561 is 1655506006011.

It is not a de Polignac number, because 1106006055561 - 2¹⁰ = 1106006054537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1106006055521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30878715 + ... + 30914511.

It is an arithmetic number, because the mean of its divisors is an integer number (29151027360).

Almost surely, 2^{1106006055561} is an apocalyptic number.

1106006055561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1106006055561 is a deficient number, since it is larger than the sum of its proper divisors (759659695479).

1106006055561 is a wasteful number, since it uses less digits than its factorization.

1106006055561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40363 (or 40357 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 1106006055561 in words is "one trillion, one hundred six billion, six million, fifty-five thousand, five hundred sixty-one".