105791429 has 2 divisors, whose sum is σ = 105791430. Its totient is φ = 105791428.

The previous prime is 105791417. The next prime is 105791431. The reversal of 105791429 is 924197501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103571329 + 2220100 = 10177^2 + 1490^2 .

It is an emirp because it is prime and its reverse (924197501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105791429 - 2⁸ = 105791173 is a prime.

It is a super-2 number, since 2×105791429² = 22383652899724082, which contains 22 as substring.

Together with 105791431, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105791392 and 105791401.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105791489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52895714 + 52895715.

It is an arithmetic number, because the mean of its divisors is an integer number (52895715).

Almost surely, 2^105791429 is an apocalyptic number.

It is an amenable number.

105791429 is a deficient number, since it is larger than the sum of its proper divisors (1).

105791429 is an equidigital number, since it uses as much as digits as its factorization.

105791429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 105791429 is about 10285.4960502642. The cubic root of 105791429 is about 472.9517402680.

The spelling of 105791429 in words is "one hundred five million, seven hundred ninety-one thousand, four hundred twenty-nine".