106307713 has 2 divisors, whose sum is σ = 106307714. Its totient is φ = 106307712.

The previous prime is 106307687. The next prime is 106307731. The reversal of 106307713 is 317703601.

Together with next prime (106307731) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88134544 + 18173169 = 9388^2 + 4263^2 .

It is a cyclic number.

It is not a de Polignac number, because 106307713 - 2²⁵ = 72753281 is a prime.

It is a super-2 number, since 2×106307713² = 22602659686580738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106307743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53153856 + 53153857.

It is an arithmetic number, because the mean of its divisors is an integer number (53153857).

Almost surely, 2^106307713 is an apocalyptic number.

It is an amenable number.

106307713 is a deficient number, since it is larger than the sum of its proper divisors (1).

106307713 is an equidigital number, since it uses as much as digits as its factorization.

106307713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 106307713 is about 10310.5631756951. The cubic root of 106307713 is about 473.7198594498.

The spelling of 106307713 in words is "one hundred six million, three hundred seven thousand, seven hundred thirteen".