105560009 has 2 divisors, whose sum is σ = 105560010. Its totient is φ = 105560008.

The previous prime is 105560003. The next prime is 105560011. The reversal of 105560009 is 900065501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96727225 + 8832784 = 9835^2 + 2972^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105560009 is a prime.

It is a super-2 number, since 2×105560009² = 22285831000160162, which contains 22 as substring.

Together with 105560011, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105560009.

It is not a weakly prime, because it can be changed into another prime (105560003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52780004 + 52780005.

It is an arithmetic number, because the mean of its divisors is an integer number (52780005).

Almost surely, 2^105560009 is an apocalyptic number.

It is an amenable number.

105560009 is a deficient number, since it is larger than the sum of its proper divisors (1).

105560009 is an equidigital number, since it uses as much as digits as its factorization.

105560009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 105560009 is about 10274.2400692217. The cubic root of 105560009 is about 472.6066259931.

The spelling of 105560009 in words is "one hundred five million, five hundred sixty thousand, nine".