10807137 has 24 divisors (see below), whose sum is σ = 17155008. Its totient is φ = 6501600.

The previous prime is 10807129. The next prime is 10807157. The reversal of 10807137 is 73170801.

10807137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10807137 - 2³ = 10807129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10807137.

It is not an unprimeable number, because it can be changed into a prime (10807157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16812 + ... + 17442.

It is an arithmetic number, because the mean of its divisors is an integer number (714792).

Almost surely, 2^10807137 is an apocalyptic number.

It is an amenable number.

10807137 is a deficient number, since it is larger than the sum of its proper divisors (6347871).

10807137 is a wasteful number, since it uses less digits than its factorization.

10807137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 10807137 is about 3287.4210256674. The cubic root of 10807137 is about 221.0905698132.

Adding to 10807137 its reverse (73170801), we get a palindrome (83977938).

The spelling of 10807137 in words is "ten million, eight hundred seven thousand, one hundred thirty-seven".