10905828917 has 2 divisors, whose sum is σ = 10905828918. Its totient is φ = 10905828916.

The previous prime is 10905828859. The next prime is 10905828919. The reversal of 10905828917 is 71982850901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7901254321 + 3004574596 = 88889^2 + 54814^2 .

It is a cyclic number.

It is not a de Polignac number, because 10905828917 - 2¹² = 10905824821 is a prime.

Together with 10905828919, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10905828919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5452914458 + 5452914459.

It is an arithmetic number, because the mean of its divisors is an integer number (5452914459).

Almost surely, 2^10905828917 is an apocalyptic number.

It is an amenable number.

10905828917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10905828917 is an equidigital number, since it uses as much as digits as its factorization.

10905828917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 50.

The spelling of 10905828917 in words is "ten billion, nine hundred five million, eight hundred twenty-eight thousand, nine hundred seventeen".