105053609 has 2 divisors, whose sum is σ = 105053610. Its totient is φ = 105053608.

The previous prime is 105053593. The next prime is 105053617. The reversal of 105053609 is 906350501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92698384 + 12355225 = 9628^2 + 3515^2 .

It is a cyclic number.

It is not a de Polignac number, because 105053609 - 2⁴ = 105053593 is a prime.

It is a super-2 number, since 2×105053609² = 22072521527849762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105053309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52526804 + 52526805.

It is an arithmetic number, because the mean of its divisors is an integer number (52526805).

Almost surely, 2^105053609 is an apocalyptic number.

It is an amenable number.

105053609 is a deficient number, since it is larger than the sum of its proper divisors (1).

105053609 is an equidigital number, since it uses as much as digits as its factorization.

105053609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 105053609 is about 10249.5662835068. The cubic root of 105053609 is about 471.8496735322.

The spelling of 105053609 in words is "one hundred five million, fifty-three thousand, six hundred nine".