1106082583561 has 8 divisors (see below), whose sum is σ = 1164388978880. Its totient is φ = 1047785340528.

The previous prime is 1106082583513. The next prime is 1106082583679. The reversal of 1106082583561 is 1653852806011.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1106082583561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1106082581561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2039301 + ... + 2524066.

It is an arithmetic number, because the mean of its divisors is an integer number (145548622360).

Almost surely, 2^{1106082583561} is an apocalyptic number.

It is an amenable number.

1106082583561 is a deficient number, since it is larger than the sum of its proper divisors (58306395319).

1106082583561 is a wasteful number, since it uses less digits than its factorization.

1106082583561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576143.

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 1106082583561 in words is "one trillion, one hundred six billion, eighty-two million, five hundred eighty-three thousand, five hundred sixty-one".