105712693 has 2 divisors, whose sum is σ = 105712694. Its totient is φ = 105712692.

The previous prime is 105712643. The next prime is 105712721. The reversal of 105712693 is 396217501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86545809 + 19166884 = 9303^2 + 4378^2 .

It is a cyclic number.

It is not a de Polignac number, because 105712693 - 2²¹ = 103615541 is a prime.

It is a super-2 number, since 2×105712693² = 22350346922624498, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105712643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52856346 + 52856347.

It is an arithmetic number, because the mean of its divisors is an integer number (52856347).

Almost surely, 2^105712693 is an apocalyptic number.

It is an amenable number.

105712693 is a deficient number, since it is larger than the sum of its proper divisors (1).

105712693 is an equidigital number, since it uses as much as digits as its factorization.

105712693 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 105712693 is about 10281.6678121791. The cubic root of 105712693 is about 472.8343786169.

The spelling of 105712693 in words is "one hundred five million, seven hundred twelve thousand, six hundred ninety-three".