1005806105 has 16 divisors (see below), whose sum is σ = 1279993104. Its totient is φ = 756111360.

The previous prime is 1005806089. The next prime is 1005806119. The reversal of 1005806105 is 5016085001.

It can be written as a sum of positive squares in 8 ways, for example, as 20097289 + 985708816 = 4483^2 + 31396^2 .

It is not a de Polignac number, because 1005806105 - 2⁴ = 1005806089 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46445 + ... + 64565.

It is an arithmetic number, because the mean of its divisors is an integer number (79999569).

Almost surely, 2^1005806105 is an apocalyptic number.

It is an amenable number.

1005806105 is a deficient number, since it is larger than the sum of its proper divisors (274186999).

1005806105 is a wasteful number, since it uses less digits than its factorization.

1005806105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18796.

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 1005806105 is about 31714.4463139434. The cubic root of 1005806105 is about 1001.9316347182.

The spelling of 1005806105 in words is "one billion, five million, eight hundred six thousand, one hundred five".