1106009054109 has 24 divisors (see below), whose sum is σ = 1640498138552. Its totient is φ = 717774981120.

The previous prime is 1106009054107. The next prime is 1106009054167. The reversal of 1106009054109 is 9014509006011.

1106009054109 is a `hidden beast` number, since 1 + 1 + 0 + 600 + 9 + 0 + 5 + 41 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 206161402500 + 899847651609 = 454050^2 + 948603^2 .

It is not a de Polignac number, because 1106009054109 - 2¹ = 1106009054107 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1106009054107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10331224 + ... + 10437729.

Almost surely, 2^{1106009054109} is an apocalyptic number.

It is an amenable number.

1106009054109 is a deficient number, since it is larger than the sum of its proper divisors (534489084443).

1106009054109 is a wasteful number, since it uses less digits than its factorization.

1106009054109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20769117 (or 20769114 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 1106009054109 in words is "one trillion, one hundred six billion, nine million, fifty-four thousand, one hundred nine".