105683327 has 2 divisors, whose sum is σ = 105683328. Its totient is φ = 105683326.

The previous prime is 105683323. The next prime is 105683329. The reversal of 105683327 is 723386501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105683327 - 2² = 105683323 is a prime.

It is a super-3 number, since 3×105683327³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 105683329, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105683323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52841663 + 52841664.

It is an arithmetic number, because the mean of its divisors is an integer number (52841664).

Almost surely, 2^105683327 is an apocalyptic number.

105683327 is a deficient number, since it is larger than the sum of its proper divisors (1).

105683327 is an equidigital number, since it uses as much as digits as its factorization.

105683327 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 105683327 is about 10280.2396372847. The cubic root of 105683327 is about 472.7905915689.

The spelling of 105683327 in words is "one hundred five million, six hundred eighty-three thousand, three hundred twenty-seven".