105065811 has 12 divisors (see below), whose sum is σ = 156995280. Its totient is φ = 67628400.

The previous prime is 105065773. The next prime is 105065819. The reversal of 105065811 is 118560501.

105065811 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 658 + 1 + 1 = 666.

It is not a de Polignac number, because 105065811 - 2¹⁹ = 104541523 is a prime.

It is a super-2 number, since 2×105065811² = 22077649282175442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105065819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201015 + ... + 201536.

It is an arithmetic number, because the mean of its divisors is an integer number (13082940).

Almost surely, 2^105065811 is an apocalyptic number.

105065811 is a deficient number, since it is larger than the sum of its proper divisors (51929469).

105065811 is a wasteful number, since it uses less digits than its factorization.

105065811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402586 (or 402583 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 105065811 is about 10250.1615109226. The cubic root of 105065811 is about 471.8679413063.

The spelling of 105065811 in words is "one hundred five million, sixty-five thousand, eight hundred eleven".