105046429 has 2 divisors, whose sum is σ = 105046430. Its totient is φ = 105046428.

The previous prime is 105046391. The next prime is 105046471. The reversal of 105046429 is 924640501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82264900 + 22781529 = 9070^2 + 4773^2 .

It is a cyclic number.

It is not a de Polignac number, because 105046429 - 2¹⁷ = 104915357 is a prime.

It is a super-2 number, since 2×105046429² = 22069504491304082, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105046429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105041429) 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, 52523214 + 52523215.

It is an arithmetic number, because the mean of its divisors is an integer number (52523215).

Almost surely, 2^105046429 is an apocalyptic number.

It is an amenable number.

105046429 is a deficient number, since it is larger than the sum of its proper divisors (1).

105046429 is an equidigital number, since it uses as much as digits as its factorization.

105046429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 105046429 is about 10249.2160187987. The cubic root of 105046429 is about 471.8389235989.

The spelling of 105046429 in words is "one hundred five million, forty-six thousand, four hundred twenty-nine".