105683009 has 2 divisors, whose sum is σ = 105683010. Its totient is φ = 105683008.

The previous prime is 105682943. The next prime is 105683023. The reversal of 105683009 is 900386501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79263409 + 26419600 = 8903^2 + 5140^2 .

It is a cyclic number.

It is not a de Polignac number, because 105683009 - 2¹² = 105678913 is a prime.

It is a super-2 number, since 2×105683009² = 22337796782588162, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105683059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52841504 + 52841505.

It is an arithmetic number, because the mean of its divisors is an integer number (52841505).

Almost surely, 2^105683009 is an apocalyptic number.

It is an amenable number.

105683009 is a deficient number, since it is larger than the sum of its proper divisors (1).

105683009 is an equidigital number, since it uses as much as digits as its factorization.

105683009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 105683009 is about 10280.2241707076. The cubic root of 105683009 is about 472.7901173611.

The spelling of 105683009 in words is "one hundred five million, six hundred eighty-three thousand, nine".