105005009 has 2 divisors, whose sum is σ = 105005010. Its totient is φ = 105005008.

The previous prime is 105004993. The next prime is 105005057. The reversal of 105005009 is 900500501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91107025 + 13897984 = 9545^2 + 3728^2 .

It is a cyclic number.

It is not a de Polignac number, because 105005009 - 2⁴ = 105004993 is a prime.

It is a super-2 number, since 2×105005009² = 22052103830180162, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105005099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52502504 + 52502505.

It is an arithmetic number, because the mean of its divisors is an integer number (52502505).

Almost surely, 2^105005009 is an apocalyptic number.

It is an amenable number.

105005009 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005009 is an equidigital number, since it uses as much as digits as its factorization.

105005009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 105005009 is about 10247.1951772180. The cubic root of 105005009 is about 471.7768997946.

The spelling of 105005009 in words is "one hundred five million, five thousand, nine".