1106000001 has 20 divisors (see below), whose sum is σ = 1667343700. Its totient is φ = 730562976.

The previous prime is 1105999997. The next prime is 1106000039. The reversal of 1106000001 is 1000006011.

It can be written as a sum of positive squares in 2 ways, for example, as 760932225 + 345067776 = 27585^2 + 18576^2 .

It is not a de Polignac number, because 1106000001 - 2² = 1105999997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1106000081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53806 + ... + 71463.

It is an arithmetic number, because the mean of its divisors is an integer number (83367185).

Almost surely, 2^1106000001 is an apocalyptic number.

It is an amenable number.

1106000001 is a deficient number, since it is larger than the sum of its proper divisors (561343699).

1106000001 is a wasteful number, since it uses less digits than its factorization.

1106000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125390 (or 125381 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1106000001 is about 33256.5783116664. The cubic root of 1106000001 is about 1034.1535865124.

Adding to 1106000001 its reverse (1000006011), we get a palindrome (2106006012).

The spelling of 1106000001 in words is "one billion, one hundred six million, one", and thus it is an aban number.