106509217 has 2 divisors, whose sum is σ = 106509218. Its totient is φ = 106509216.

The previous prime is 106509203. The next prime is 106509287. The reversal of 106509217 is 712905601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74235456 + 32273761 = 8616^2 + 5681^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106509217 is a prime.

It is a super-2 number, since 2×106509217² = 22688426611906178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106509287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53254608 + 53254609.

It is an arithmetic number, because the mean of its divisors is an integer number (53254609).

Almost surely, 2^106509217 is an apocalyptic number.

It is an amenable number.

106509217 is a deficient number, since it is larger than the sum of its proper divisors (1).

106509217 is an equidigital number, since it uses as much as digits as its factorization.

106509217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 106509217 is about 10320.3302757228. The cubic root of 106509217 is about 474.0189791637.

The spelling of 106509217 in words is "one hundred six million, five hundred nine thousand, two hundred seventeen".