106316593 has 2 divisors, whose sum is σ = 106316594. Its totient is φ = 106316592.

The previous prime is 106316549. The next prime is 106316611. The reversal of 106316593 is 395613601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91929744 + 14386849 = 9588^2 + 3793^2 .

It is an emirp because it is prime and its reverse (395613601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106316593 is a prime.

It is a super-3 number, since 3×106316593³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (106317593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53158296 + 53158297.

It is an arithmetic number, because the mean of its divisors is an integer number (53158297).

Almost surely, 2^106316593 is an apocalyptic number.

It is an amenable number.

106316593 is a deficient number, since it is larger than the sum of its proper divisors (1).

106316593 is an equidigital number, since it uses as much as digits as its factorization.

106316593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 106316593 is about 10310.9937930347. The cubic root of 106316593 is about 473.7330491959.

The spelling of 106316593 in words is "one hundred six million, three hundred sixteen thousand, five hundred ninety-three".