10107089 has 2 divisors, whose sum is σ = 10107090. Its totient is φ = 10107088.

The previous prime is 10107073. The next prime is 10107103. The reversal of 10107089 is 98070101.

10107089 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6838225 + 3268864 = 2615^2 + 1808^2 .

It is a cyclic number.

It is not a de Polignac number, because 10107089 - 2⁴ = 10107073 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10107589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053544 + 5053545.

It is an arithmetic number, because the mean of its divisors is an integer number (5053545).

Almost surely, 2^10107089 is an apocalyptic number.

It is an amenable number.

10107089 is a deficient number, since it is larger than the sum of its proper divisors (1).

10107089 is an equidigital number, since it uses as much as digits as its factorization.

10107089 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 26.

The square root of 10107089 is about 3179.1648274350. The cubic root of 10107089 is about 216.2097941669.

The spelling of 10107089 in words is "ten million, one hundred seven thousand, eighty-nine".