106528589 has 2 divisors, whose sum is σ = 106528590. Its totient is φ = 106528588.

The previous prime is 106528567. The next prime is 106528607. The reversal of 106528589 is 985825601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85414564 + 21114025 = 9242^2 + 4595^2 .

It is a cyclic number.

It is not a de Polignac number, because 106528589 - 2⁸ = 106528333 is a prime.

It is a super-2 number, since 2×106528589² = 22696680548661842, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106528519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53264294 + 53264295.

It is an arithmetic number, because the mean of its divisors is an integer number (53264295).

Almost surely, 2^106528589 is an apocalyptic number.

It is an amenable number.

106528589 is a deficient number, since it is larger than the sum of its proper divisors (1).

106528589 is an equidigital number, since it uses as much as digits as its factorization.

106528589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 44.

The square root of 106528589 is about 10321.2687689063. The cubic root of 106528589 is about 474.0477157659.

The spelling of 106528589 in words is "one hundred six million, five hundred twenty-eight thousand, five hundred eighty-nine".