10905972817 has 8 divisors (see below), whose sum is σ = 11253525192. Its totient is φ = 10562304000.

The previous prime is 10905972799. The next prime is 10905972929. The reversal of 10905972817 is 71827950901.

It can be written as a sum of positive squares in 4 ways, for example, as 422055936 + 10483916881 = 20544^2 + 102391^2 .

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 10905972817 - 2²³ = 10897584209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10905912817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 965184 + ... + 976417.

It is an arithmetic number, because the mean of its divisors is an integer number (1406690649).

Almost surely, 2^10905972817 is an apocalyptic number.

It is an amenable number.

10905972817 is a deficient number, since it is larger than the sum of its proper divisors (347552375).

10905972817 is a wasteful number, since it uses less digits than its factorization.

10905972817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941779.

The product of its (nonzero) digits is 317520, while the sum is 49.

The spelling of 10905972817 in words is "ten billion, nine hundred five million, nine hundred seventy-two thousand, eight hundred seventeen".