10264126365 has 24 divisors (see below), whose sum is σ = 17799364440. Its totient is φ = 5471673984.

The previous prime is 10264126331. The next prime is 10264126391. The reversal of 10264126365 is 56362146201.

10264126365 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 4 + 12 + 636 + 5 = 666.

10264126365 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 4 ways, for example, as 5999122116 + 4265004249 = 77454^2 + 65307^2 .

It is not a de Polignac number, because 10264126365 - 2¹² = 10264122269 is a prime.

It is a super-3 number, since 3×10264126365³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 48051 + ... + 151119.

It is an arithmetic number, because the mean of its divisors is an integer number (741640185).

Almost surely, 2^10264126365 is an apocalyptic number.

10264126365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10264126365 is a deficient number, since it is larger than the sum of its proper divisors (7535238075).

10264126365 is a wasteful number, since it uses less digits than its factorization.

10264126365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105293 (or 105290 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10264126365 in words is "ten billion, two hundred sixty-four million, one hundred twenty-six thousand, three hundred sixty-five".