2106000011 has 8 divisors (see below), whose sum is σ = 2111616000. Its totient is φ = 2100393000.

The previous prime is 2105999993. The next prime is 2106000019. The reversal of 2106000011 is 1100006012.

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

It is a cyclic number.

It is not a de Polignac number, because 2106000011 - 2⁶ = 2105999947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2105999956 and 2106000001.

It is not an unprimeable number, because it can be changed into a prime (2106000019) 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, 778940 + ... + 781638.

It is an arithmetic number, because the mean of its divisors is an integer number (263952000).

Almost surely, 2^2106000011 is an apocalyptic number.

2106000011 is a deficient number, since it is larger than the sum of its proper divisors (5615989).

2106000011 is a wasteful number, since it uses less digits than its factorization.

2106000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2106000011 is about 45891.1757421838. The cubic root of 2106000011 is about 1281.7976067411.

Adding to 2106000011 its reverse (1100006012), we get a palindrome (3206006023).

The spelling of 2106000011 in words is "two billion, one hundred six million, eleven", and thus it is an aban number.