10504105249 has 16 divisors (see below), whose sum is σ = 11744139456. Its totient is φ = 9311814400.

The previous prime is 10504105229. The next prime is 10504105279. The reversal of 10504105249 is 94250140501.

10504105249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10504105249 is a prime.

It is a super-2 number, since 2×10504105249² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10504105249.

It is not an unprimeable number, because it can be changed into a prime (10504105229) 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, 1248234 + ... + 1256620.

It is an arithmetic number, because the mean of its divisors is an integer number (734008716).

Almost surely, 2^10504105249 is an apocalyptic number.

It is an amenable number.

10504105249 is a deficient number, since it is larger than the sum of its proper divisors (1240034207).

10504105249 is a wasteful number, since it uses less digits than its factorization.

10504105249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11216.

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

The spelling of 10504105249 in words is "ten billion, five hundred four million, one hundred five thousand, two hundred forty-nine".