106688213 has 2 divisors, whose sum is σ = 106688214. Its totient is φ = 106688212.

The previous prime is 106688189. The next prime is 106688269. The reversal of 106688213 is 312886601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62837329 + 43850884 = 7927^2 + 6622^2 .

It is an emirp because it is prime and its reverse (312886601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106688213 - 2¹² = 106684117 is a prime.

It is a super-2 number, since 2×106688213² = 22764749586266738, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106628213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53344106 + 53344107.

It is an arithmetic number, because the mean of its divisors is an integer number (53344107).

Almost surely, 2^106688213 is an apocalyptic number.

It is an amenable number.

106688213 is a deficient number, since it is larger than the sum of its proper divisors (1).

106688213 is an equidigital number, since it uses as much as digits as its factorization.

106688213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 106688213 is about 10328.9986445928. The cubic root of 106688213 is about 474.2843709525.

It can be divided in two parts, 10668 and 8213, that added together give a palindrome (18881).

The spelling of 106688213 in words is "one hundred six million, six hundred eighty-eight thousand, two hundred thirteen".