106645313 has 2 divisors, whose sum is σ = 106645314. Its totient is φ = 106645312.

The previous prime is 106645283. The next prime is 106645327. The reversal of 106645313 is 313546601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87179569 + 19465744 = 9337^2 + 4412^2 .

It is a cyclic number.

It is not a de Polignac number, because 106645313 - 2⁶ = 106645249 is a prime.

It is a super-2 number, since 2×106645313² = 22746445569735938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106645393) 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, 53322656 + 53322657.

It is an arithmetic number, because the mean of its divisors is an integer number (53322657).

Almost surely, 2^106645313 is an apocalyptic number.

It is an amenable number.

106645313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106645313 is an equidigital number, since it uses as much as digits as its factorization.

106645313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 106645313 is about 10326.9217582007. The cubic root of 106645313 is about 474.2207915225.

The spelling of 106645313 in words is "one hundred six million, six hundred forty-five thousand, three hundred thirteen".