106567313 has 2 divisors, whose sum is σ = 106567314. Its totient is φ = 106567312.

The previous prime is 106567301. The next prime is 106567343. The reversal of 106567313 is 313765601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103388224 + 3179089 = 10168^2 + 1783^2 .

It is a cyclic number.

It is not a de Polignac number, because 106567313 - 2⁴ = 106567297 is a prime.

It is a super-2 number, since 2×106567313² = 22713184400079938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106567313.

It is not a weakly prime, because it can be changed into another prime (106567343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53283656 + 53283657.

It is an arithmetic number, because the mean of its divisors is an integer number (53283657).

Almost surely, 2^106567313 is an apocalyptic number.

It is an amenable number.

106567313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106567313 is an equidigital number, since it uses as much as digits as its factorization.

106567313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 106567313 is about 10323.1445306166. The cubic root of 106567313 is about 474.1051488615.

The spelling of 106567313 in words is "one hundred six million, five hundred sixty-seven thousand, three hundred thirteen".