2005105 has 8 divisors (see below), whose sum is σ = 2465064. Its totient is φ = 1564800.

The previous prime is 2005103. The next prime is 2005121. The reversal of 2005105 is 5015002.

It can be written as a sum of positive squares in 4 ways, for example, as 49 + 2005056 = 7^2 + 1416^2 .

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

It is not a de Polignac number, because 2005105 - 2¹ = 2005103 is a prime.

It is a super-2 number, since 2×2005105² = 8040892122050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4686 + ... + 5095.

It is an arithmetic number, because the mean of its divisors is an integer number (308133).

2^2005105 is an apocalyptic number.

It is an amenable number.

2005105 is a deficient number, since it is larger than the sum of its proper divisors (459959).

2005105 is an equidigital number, since it uses as much as digits as its factorization.

2005105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9827.

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 2005105 is about 1416.0173021542. The cubic root of 2005105 is about 126.0992121934.

The spelling of 2005105 in words is "two million, five thousand, one hundred five".