106643313 has 24 divisors (see below), whose sum is σ = 176603648. Its totient is φ = 60746112.

The previous prime is 106643293. The next prime is 106643347. The reversal of 106643313 is 313346601.

106643313 is a `hidden beast` number, since 1 + 0 + 6 + 643 + 3 + 13 = 666.

It is not a de Polignac number, because 106643313 - 2⁵ = 106643281 is a prime.

It is a super-2 number, since 2×106643313² = 22745592415231938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106643393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18720 + ... + 23742.

Almost surely, 2^106643313 is an apocalyptic number.

It is an amenable number.

106643313 is a deficient number, since it is larger than the sum of its proper divisors (69960335).

106643313 is a wasteful number, since it uses less digits than its factorization.

106643313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 106643313 is about 10326.8249234699. The cubic root of 106643313 is about 474.2178270305.

Adding to 106643313 its reverse (313346601), we get a palindrome (419989914).

The spelling of 106643313 in words is "one hundred six million, six hundred forty-three thousand, three hundred thirteen".