106047313 has 2 divisors, whose sum is σ = 106047314. Its totient is φ = 106047312.

The previous prime is 106047289. The next prime is 106047349. The reversal of 106047313 is 313740601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 23746129 = 9072^2 + 4873^2 .

It is a cyclic number.

It is not a de Polignac number, because 106047313 - 2⁵ = 106047281 is a prime.

It is a super-2 number, since 2×106047313² = 22492065189039938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106047353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53023656 + 53023657.

It is an arithmetic number, because the mean of its divisors is an integer number (53023657).

Almost surely, 2^106047313 is an apocalyptic number.

It is an amenable number.

106047313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106047313 is an equidigital number, since it uses as much as digits as its factorization.

106047313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 106047313 is about 10297.9276070479. The cubic root of 106047313 is about 473.3327520436.

Adding to 106047313 its reverse (313740601), we get a palindrome (419787914).

The spelling of 106047313 in words is "one hundred six million, forty-seven thousand, three hundred thirteen".