2008105 has 16 divisors (see below), whose sum is σ = 2721600. Its totient is φ = 1408960.

The previous prime is 2008103. The next prime is 2008121. The reversal of 2008105 is 5018002.

It is a happy number.

It is not a de Polignac number, because 2008105 - 2¹ = 2008103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2008103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966 + ... + 2224.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

2^2008105 is an apocalyptic number.

It is an amenable number.

2008105 is a deficient number, since it is larger than the sum of its proper divisors (713495).

2008105 is a wasteful number, since it uses less digits than its factorization.

2008105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2008105 is about 1417.0762153109. The cubic root of 2008105 is about 126.1620699367.

The spelling of 2008105 in words is "two million, eight thousand, one hundred five".