2005102341 has 48 divisors (see below), whose sum is σ = 3245079552. Its totient is φ = 1182535200.

The previous prime is 2005102301. The next prime is 2005102373. The reversal of 2005102341 is 1432015002.

It is not a de Polignac number, because 2005102341 - 2⁶ = 2005102277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005102301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1408356 + ... + 1409778.

It is an arithmetic number, because the mean of its divisors is an integer number (67605824).

Almost surely, 2^2005102341 is an apocalyptic number.

It is an amenable number.

2005102341 is a deficient number, since it is larger than the sum of its proper divisors (1239977211).

2005102341 is a wasteful number, since it uses less digits than its factorization.

2005102341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2005102341 is about 44778.3691194755. The cubic root of 2005102341 is about 1260.9915645268.

Adding to 2005102341 its reverse (1432015002), we get a palindrome (3437117343).

The spelling of 2005102341 in words is "two billion, five million, one hundred two thousand, three hundred forty-one".