10505005004 has 24 divisors (see below), whose sum is σ = 20658674400. Its totient is φ = 4637660544.

The previous prime is 10505004977. The next prime is 10505005087. The reversal of 10505005004 is 40050050501.

10505005004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10505005004² (a number of 21 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 4390529 + ... + 4392920.

It is an arithmetic number, because the mean of its divisors is an integer number (860778100).

Almost surely, 2^10505005004 is an apocalyptic number.

It is an amenable number.

10505005004 is a deficient number, since it is larger than the sum of its proper divisors (10153669396).

10505005004 is a wasteful number, since it uses less digits than its factorization.

10505005004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8783489 (or 8783487 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

Adding to 10505005004 its reverse (40050050501), we get a palindrome (50555055505).

The spelling of 10505005004 in words is "ten billion, five hundred five million, five thousand, four".