107089 has 2 divisors, whose sum is σ = 107090. Its totient is φ = 107088.

The previous prime is 107077. The next prime is 107099. The reversal of 107089 is 980701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70225 + 36864 = 265^2 + 192^2 .

It is a cyclic number.

It is not a de Polignac number, because 107089 - 2⁵ = 107057 is a prime.

It is a super-2 number, since 2×107089² = 22936107842, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53544 + 53545.

It is an arithmetic number, because the mean of its divisors is an integer number (53545).

2¹⁰⁷⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

107089 is a deficient number, since it is larger than the sum of its proper divisors (1).

107089 is an equidigital number, since it uses as much as digits as its factorization.

107089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 107089 is about 327.2445568684. The cubic root of 107089 is about 47.4877530753.

The spelling of 107089 in words is "one hundred seven thousand, eighty-nine".