105680429 has 2 divisors, whose sum is σ = 105680430. Its totient is φ = 105680428.

The previous prime is 105680363. The next prime is 105680459. The reversal of 105680429 is 924086501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66015625 + 39664804 = 8125^2 + 6298^2 .

It is a cyclic number.

It is not a de Polignac number, because 105680429 - 2⁸ = 105680173 is a prime.

It is a super-2 number, since 2×105680429² = 22336706147248082, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105680459) 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, 52840214 + 52840215.

It is an arithmetic number, because the mean of its divisors is an integer number (52840215).

Almost surely, 2^105680429 is an apocalyptic number.

It is an amenable number.

105680429 is a deficient number, since it is larger than the sum of its proper divisors (1).

105680429 is an equidigital number, since it uses as much as digits as its factorization.

105680429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 105680429 is about 10280.0986862967. The cubic root of 105680429 is about 472.7862699801.

The spelling of 105680429 in words is "one hundred five million, six hundred eighty thousand, four hundred twenty-nine".