107806689 has 9 divisors (see below), whose sum is σ = 155765779. Its totient is φ = 71850360.

The previous prime is 107806687. The next prime is 107806691. The reversal of 107806689 is 986608701.

It is a happy number.

The square root of 107806689 is 10383.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (107806687) and next prime (107806691).

It can be written as a sum of positive squares in only one way, i.e., 21316689 + 86490000 = 4617^2 + 9300^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 107806689 - 2¹ = 107806687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107806687) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29419 + ... + 32879.

Almost surely, 2^107806689 is an apocalyptic number.

107806689 is the 10383-rd square number.

107806689 is the 5192-nd centered octagonal number.

It is an amenable number.

107806689 is a deficient number, since it is larger than the sum of its proper divisors (47959090).

107806689 is an frugal number, since it uses more digits than its factorization.

107806689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The cubic root of 107806689 is about 475.9360143378.

The spelling of 107806689 in words is "one hundred seven million, eight hundred six thousand, six hundred eighty-nine".