2005102005 has 32 divisors (see below), whose sum is σ = 3234629376. Its totient is φ = 1060598784.

The previous prime is 2005102003. The next prime is 2005102013. The reversal of 2005102005 is 5002015002.

It is not a de Polignac number, because 2005102005 - 2¹ = 2005102003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538184 + ... + 1539486.

It is an arithmetic number, because the mean of its divisors is an integer number (101082168).

Almost surely, 2^2005102005 is an apocalyptic number.

It is an amenable number.

2005102005 is a deficient number, since it is larger than the sum of its proper divisors (1229527371).

2005102005 is a wasteful number, since it uses less digits than its factorization.

2005102005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2005102005 is about 44778.3653676639. The cubic root of 2005102005 is about 1260.9914940910.

Adding to 2005102005 its reverse (5002015002), we get a palindrome (7007117007).

The spelling of 2005102005 in words is "two billion, five million, one hundred two thousand, five".