106589257 has 2 divisors, whose sum is σ = 106589258. Its totient is φ = 106589256.

The previous prime is 106589251. The next prime is 106589261. The reversal of 106589257 is 752985601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 5707321 = 10044^2 + 2389^2 .

It is a cyclic number.

It is not a de Polignac number, because 106589257 - 2¹⁹ = 106064969 is a prime.

It is a super-2 number, since 2×106589257² = 22722539415624098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106589251) 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, 53294628 + 53294629.

It is an arithmetic number, because the mean of its divisors is an integer number (53294629).

Almost surely, 2^106589257 is an apocalyptic number.

It is an amenable number.

106589257 is a deficient number, since it is larger than the sum of its proper divisors (1).

106589257 is an equidigital number, since it uses as much as digits as its factorization.

106589257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 43.

The square root of 106589257 is about 10324.2073303474. The cubic root of 106589257 is about 474.1376886997.

The spelling of 106589257 in words is "one hundred six million, five hundred eighty-nine thousand, two hundred fifty-seven".