2042105 has 16 divisors (see below), whose sum is σ = 2676240. Its totient is φ = 1486848.

The previous prime is 2042083. The next prime is 2042107. The reversal of 2042105 is 5012402.

It can be written as a sum of positive squares in 8 ways, for example, as 434281 + 1607824 = 659^2 + 1268^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042105 - 2⁸ = 2041849 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2042105.

It is not an unprimeable number, because it can be changed into a prime (2042107) 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 15 ways as a sum of consecutive naturals, for example, 5609 + ... + 5961.

It is an arithmetic number, because the mean of its divisors is an integer number (167265).

2^2042105 is an apocalyptic number.

It is an amenable number.

2042105 is a deficient number, since it is larger than the sum of its proper divisors (634135).

2042105 is a wasteful number, since it uses less digits than its factorization.

2042105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460.

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2042105 is about 1429.0223931066. The cubic root of 2042105 is about 126.8701216305.

Adding to 2042105 its reverse (5012402), we get a palindrome (7054507).

The spelling of 2042105 in words is "two million, forty-two thousand, one hundred five".