66000105 has 24 divisors (see below), whose sum is σ = 116562888. Its totient is φ = 34534656.

The previous prime is 66000083. The next prime is 66000149. The reversal of 66000105 is 50100066.

66000105 is a `hidden beast` number, since 660 + 0 + 0 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 65464281 = 732^2 + 8091^2 .

It is not a de Polignac number, because 66000105 - 2⁵ = 66000073 is a prime.

It is a super-2 number, since 2×66000105² = 8712027720022050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11452 + ... + 16221.

It is an arithmetic number, because the mean of its divisors is an integer number (4856787).

Almost surely, 2^66000105 is an apocalyptic number.

It is an amenable number.

66000105 is a deficient number, since it is larger than the sum of its proper divisors (50562783).

66000105 is a wasteful number, since it uses less digits than its factorization.

66000105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27737 (or 27734 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 66000105 is about 8124.0448669367. The cubic root of 66000105 is about 404.1242163703.

The spelling of 66000105 in words is "sixty-six million, one hundred five", and thus it is an aban number.