10022003305 has 16 divisors (see below), whose sum is σ = 12329556624. Its totient is φ = 7815813120.

The previous prime is 10022003293. The next prime is 10022003347. The reversal of 10022003305 is 50330022001.

10022003305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 317980224 + 9704023081 = 17832^2 + 98509^2 .

It is not a de Polignac number, because 10022003305 - 2⁵ = 10022003273 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 247039 + ... + 284731.

It is an arithmetic number, because the mean of its divisors is an integer number (770597289).

Almost surely, 2^10022003305 is an apocalyptic number.

It is an amenable number.

10022003305 is a deficient number, since it is larger than the sum of its proper divisors (2307553319).

10022003305 is a wasteful number, since it uses less digits than its factorization.

10022003305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39036.

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 10022003305 its reverse (50330022001), we get a palindrome (60352025306).

The spelling of 10022003305 in words is "ten billion, twenty-two million, three thousand, three hundred five".