105286693 has 2 divisors, whose sum is σ = 105286694. Its totient is φ = 105286692.

The previous prime is 105286691. The next prime is 105286723. The reversal of 105286693 is 396682501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104898564 + 388129 = 10242^2 + 623^2 .

It is a cyclic number.

It is not a de Polignac number, because 105286693 - 2¹ = 105286691 is a prime.

It is a super-2 number, since 2×105286693² = 22170575445752498, which contains 22 as substring.

Together with 105286691, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105286691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52643346 + 52643347.

It is an arithmetic number, because the mean of its divisors is an integer number (52643347).

Almost surely, 2^105286693 is an apocalyptic number.

It is an amenable number.

105286693 is a deficient number, since it is larger than the sum of its proper divisors (1).

105286693 is an equidigital number, since it uses as much as digits as its factorization.

105286693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 105286693 is about 10260.9304159028. The cubic root of 105286693 is about 472.1983823864.

The spelling of 105286693 in words is "one hundred five million, two hundred eighty-six thousand, six hundred ninety-three".