10005000610 has 32 divisors (see below), whose sum is σ = 19659169152. Its totient is φ = 3635777280.

The previous prime is 10005000581. The next prime is 10005000613. The reversal of 10005000610 is 1600050001.

It is a super-2 number, since 2×10005000610² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005000613) 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, 141547 + ... + 200113.

It is an arithmetic number, because the mean of its divisors is an integer number (614349036).

Almost surely, 2^10005000610 is an apocalyptic number.

10005000610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005000610 is a deficient number, since it is larger than the sum of its proper divisors (9654168542).

10005000610 is a wasteful number, since it uses less digits than its factorization.

10005000610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60138.

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 10005000610 its reverse (1600050001), we get a palindrome (11605050611).

The spelling of 10005000610 in words is "ten billion, five million, six hundred ten", and thus it is an aban number.