105704497 has 2 divisors, whose sum is σ = 105704498. Its totient is φ = 105704496.

The previous prime is 105704483. The next prime is 105704503. The reversal of 105704497 is 794407501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105657841 + 46656 = 10279^2 + 216^2 .

It is a cyclic number.

It is not a de Polignac number, because 105704497 - 2⁷ = 105704369 is a prime.

It is a super-2 number, since 2×105704497² = 22346881372046018, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105704477) 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, 52852248 + 52852249.

It is an arithmetic number, because the mean of its divisors is an integer number (52852249).

Almost surely, 2^105704497 is an apocalyptic number.

It is an amenable number.

105704497 is a deficient number, since it is larger than the sum of its proper divisors (1).

105704497 is an equidigital number, since it uses as much as digits as its factorization.

105704497 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 37.

The square root of 105704497 is about 10281.2692309851. The cubic root of 105704497 is about 472.8221585431.

The spelling of 105704497 in words is "one hundred five million, seven hundred four thousand, four hundred ninety-seven".