105509029 has 2 divisors, whose sum is σ = 105509030. Its totient is φ = 105509028.

The previous prime is 105509009. The next prime is 105509039. The reversal of 105509029 is 920905501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62252100 + 43256929 = 7890^2 + 6577^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105509029 is a prime.

It is a super-2 number, since 2×105509029² = 22264310401045682, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105509009) 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, 52754514 + 52754515.

It is an arithmetic number, because the mean of its divisors is an integer number (52754515).

Almost surely, 2^105509029 is an apocalyptic number.

It is an amenable number.

105509029 is a deficient number, since it is larger than the sum of its proper divisors (1).

105509029 is an equidigital number, since it uses as much as digits as its factorization.

105509029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 105509029 is about 10271.7588075266. The cubic root of 105509029 is about 472.5305322599.

The spelling of 105509029 in words is "one hundred five million, five hundred nine thousand, twenty-nine".