105566029 has 2 divisors, whose sum is σ = 105566030. Its totient is φ = 105566028.

The previous prime is 105565997. The next prime is 105566059. The reversal of 105566029 is 920665501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102050404 + 3515625 = 10102^2 + 1875^2 .

It is a cyclic number.

It is not a de Polignac number, because 105566029 - 2⁵ = 105565997 is a prime.

It is a super-2 number, since 2×105566029² = 22288372957657682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105565985 and 105566003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105566059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52783014 + 52783015.

It is an arithmetic number, because the mean of its divisors is an integer number (52783015).

Almost surely, 2^105566029 is an apocalyptic number.

It is an amenable number.

105566029 is a deficient number, since it is larger than the sum of its proper divisors (1).

105566029 is an equidigital number, since it uses as much as digits as its factorization.

105566029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 105566029 is about 10274.5330307513. The cubic root of 105566029 is about 472.6156099439.

The spelling of 105566029 in words is "one hundred five million, five hundred sixty-six thousand, twenty-nine".