10120630585 has 16 divisors (see below), whose sum is σ = 13090032144. Its totient is φ = 7467374592.

The previous prime is 10120630567. The next prime is 10120630589. The reversal of 10120630585 is 58503602101.

10120630585 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 193098816 + 9927531769 = 13896^2 + 99637^2 .

It is a cyclic number.

It is not a de Polignac number, because 10120630585 - 2⁹ = 10120630073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120630589) 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 15 ways as a sum of consecutive naturals, for example, 12289 + ... + 142801.

It is an arithmetic number, because the mean of its divisors is an integer number (818127009).

Almost surely, 2^10120630585 is an apocalyptic number.

It is an amenable number.

10120630585 is a deficient number, since it is larger than the sum of its proper divisors (2969401559).

10120630585 is a wasteful number, since it uses less digits than its factorization.

10120630585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131724.

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 10120630585 in words is "ten billion, one hundred twenty million, six hundred thirty thousand, five hundred eighty-five".