106965713 has 8 divisors (see below), whose sum is σ = 109421928. Its totient is φ = 104525824.

The previous prime is 106965697. The next prime is 106965739. The reversal of 106965713 is 317569601.

It can be written as a sum of positive squares in 4 ways, for example, as 26091664 + 80874049 = 5108^2 + 8993^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106965713 - 2⁴ = 106965697 is a prime.

It is a super-2 number, since 2×106965713² = 22883327515196738, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106965743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9695 + ... + 17547.

It is an arithmetic number, because the mean of its divisors is an integer number (13677741).

Almost surely, 2^106965713 is an apocalyptic number.

It is an amenable number.

106965713 is a deficient number, since it is larger than the sum of its proper divisors (2456215).

106965713 is an equidigital number, since it uses as much as digits as its factorization.

106965713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8163.

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 106965713 is about 10342.4229752994. The cubic root of 106965713 is about 474.6952253570.

The spelling of 106965713 in words is "one hundred six million, nine hundred sixty-five thousand, seven hundred thirteen".