105098429 has 2 divisors, whose sum is σ = 105098430. Its totient is φ = 105098428.

The previous prime is 105098393. The next prime is 105098459. The reversal of 105098429 is 924890501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57350329 + 47748100 = 7573^2 + 6910^2 .

It is an emirp because it is prime and its reverse (924890501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105098429 - 2²⁰ = 104049853 is a prime.

It is a super-2 number, since 2×105098429² = 22091359556536082, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105098392 and 105098401.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105098459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52549214 + 52549215.

It is an arithmetic number, because the mean of its divisors is an integer number (52549215).

Almost surely, 2^105098429 is an apocalyptic number.

It is an amenable number.

105098429 is a deficient number, since it is larger than the sum of its proper divisors (1).

105098429 is an equidigital number, since it uses as much as digits as its factorization.

105098429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 105098429 is about 10251.7524843316. The cubic root of 105098429 is about 471.9167671990.

The spelling of 105098429 in words is "one hundred five million, ninety-eight thousand, four hundred twenty-nine".