1006111006105 has 16 divisors (see below), whose sum is σ = 1208126905920. Its totient is φ = 804359844288.

The previous prime is 1006111006099. The next prime is 1006111006123. The reversal of 1006111006105 is 5016001116001.

1006111006105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1006111006105 - 2¹¹ = 1006111004057 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87611694 + ... + 87623176.

It is an arithmetic number, because the mean of its divisors is an integer number (75507931620).

Almost surely, 2^{1006111006105} is an apocalyptic number.

It is an amenable number.

1006111006105 is a deficient number, since it is larger than the sum of its proper divisors (202015899815).

1006111006105 is a wasteful number, since it uses less digits than its factorization.

1006111006105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21480.

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 1006111006105 in words is "one trillion, six billion, one hundred eleven million, six thousand, one hundred five".