106438313 has 2 divisors, whose sum is σ = 106438314. Its totient is φ = 106438312.

The previous prime is 106438291. The next prime is 106438331. The reversal of 106438313 is 313834601.

Together with next prime (106438331) 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., 103469584 + 2968729 = 10172^2 + 1723^2 .

It is an emirp because it is prime and its reverse (313834601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106438313 - 2⁶ = 106438249 is a prime.

It is a super-2 number, since 2×106438313² = 22658228948571938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106438333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53219156 + 53219157.

It is an arithmetic number, because the mean of its divisors is an integer number (53219157).

Almost surely, 2^106438313 is an apocalyptic number.

It is an amenable number.

106438313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106438313 is an equidigital number, since it uses as much as digits as its factorization.

106438313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 106438313 is about 10316.8945424483. The cubic root of 106438313 is about 473.9137697947.

The spelling of 106438313 in words is "one hundred six million, four hundred thirty-eight thousand, three hundred thirteen".