10093045261 has 16 divisors (see below), whose sum is σ = 11042410288. Its totient is φ = 9169459200.

The previous prime is 10093045229. The next prime is 10093045273. The reversal of 10093045261 is 16254039001.

10093045261 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 483164361 + 9609880900 = 21981^2 + 98030^2 .

It is a cyclic number.

It is not a de Polignac number, because 10093045261 - 2⁵ = 10093045229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093045211) 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, 206131 + ... + 250351.

It is an arithmetic number, because the mean of its divisors is an integer number (690150643).

Almost surely, 2^10093045261 is an apocalyptic number.

It is an amenable number.

10093045261 is a deficient number, since it is larger than the sum of its proper divisors (949365027).

10093045261 is a wasteful number, since it uses less digits than its factorization.

10093045261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44512.

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 10093045261 in words is "ten billion, ninety-three million, forty-five thousand, two hundred sixty-one".