10905416009 has 2 divisors, whose sum is σ = 10905416010. Its totient is φ = 10905416008.

The previous prime is 10905415973. The next prime is 10905416047. The reversal of 10905416009 is 90061450901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6240526009 + 4664890000 = 78997^2 + 68300^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10905416009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10905416009.

It is not a weakly prime, because it can be changed into another prime (10905416609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5452708004 + 5452708005.

It is an arithmetic number, because the mean of its divisors is an integer number (5452708005).

Almost surely, 2^10905416009 is an apocalyptic number.

It is an amenable number.

10905416009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10905416009 is an equidigital number, since it uses as much as digits as its factorization.

10905416009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 10905416009 in words is "ten billion, nine hundred five million, four hundred sixteen thousand, nine".