10382904563105 has 8 divisors (see below), whose sum is σ = 12462911256552. Its totient is φ = 8304039796608.

The previous prime is 10382904563089. The next prime is 10382904563147. The reversal of 10382904563105 is 50136540928301.

10382904563105 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 1142228700001 + 9240675863104 = 1068751^2 + 3039848^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10382904563105 - 2⁴ = 10382904563089 is a prime.

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 10382904563105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285461732 + ... + 285498101.

It is an arithmetic number, because the mean of its divisors is an integer number (1557863907069).

Almost surely, 2^{10382904563105} is an apocalyptic number.

It is an amenable number.

10382904563105 is a deficient number, since it is larger than the sum of its proper divisors (2080006693447).

10382904563105 is an equidigital number, since it uses as much as digits as its factorization.

10382904563105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570963475.

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 10382904563105 in words is "ten trillion, three hundred eighty-two billion, nine hundred four million, five hundred sixty-three thousand, one hundred five".