107142689 has 2 divisors, whose sum is σ = 107142690. Its totient is φ = 107142688.

The previous prime is 107142677. The next prime is 107142701. The reversal of 107142689 is 986241701.

It is a balanced prime because it is at equal distance from previous prime (107142677) and next prime (107142701).

It can be written as a sum of positive squares in only one way, i.e., 104387089 + 2755600 = 10217^2 + 1660^2 .

It is a cyclic number.

It is not a de Polignac number, because 107142689 - 2⁸ = 107142433 is a prime.

It is a super-2 number, since 2×107142689² = 22959111612301442, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107142649) 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, 53571344 + 53571345.

It is an arithmetic number, because the mean of its divisors is an integer number (53571345).

Almost surely, 2^107142689 is an apocalyptic number.

It is an amenable number.

107142689 is a deficient number, since it is larger than the sum of its proper divisors (1).

107142689 is an equidigital number, since it uses as much as digits as its factorization.

107142689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 107142689 is about 10350.9752680605. The cubic root of 107142689 is about 474.9568773410.

The spelling of 107142689 in words is "one hundred seven million, one hundred forty-two thousand, six hundred eighty-nine".