105529093 has 2 divisors, whose sum is σ = 105529094. Its totient is φ = 105529092.

The previous prime is 105529091. The next prime is 105529133. The reversal of 105529093 is 390925501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65561409 + 39967684 = 8097^2 + 6322^2 .

It is an emirp because it is prime and its reverse (390925501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105529093 - 2¹ = 105529091 is a prime.

It is a super-2 number, since 2×105529093² = 22272778938805298, which contains 22 as substring.

Together with 105529091, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105529091) 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, 52764546 + 52764547.

It is an arithmetic number, because the mean of its divisors is an integer number (52764547).

Almost surely, 2^105529093 is an apocalyptic number.

It is an amenable number.

105529093 is a deficient number, since it is larger than the sum of its proper divisors (1).

105529093 is an equidigital number, since it uses as much as digits as its factorization.

105529093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12150, while the sum is 34.

The square root of 105529093 is about 10272.7354195462. The cubic root of 105529093 is about 472.5604830985.

The spelling of 105529093 in words is "one hundred five million, five hundred twenty-nine thousand, ninety-three".