10006877 has 8 divisors (see below), whose sum is σ = 10243800. Its totient is φ = 9771840.

The previous prime is 10006873. The next prime is 10006883. The reversal of 10006877 is 77860001.

10006877 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2979076 + 7027801 = 1726^2 + 2651^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10006877 - 2² = 10006873 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18227 + ... + 18767.

It is an arithmetic number, because the mean of its divisors is an integer number (1280475).

Almost surely, 2^10006877 is an apocalyptic number.

It is an amenable number.

10006877 is a deficient number, since it is larger than the sum of its proper divisors (236923).

10006877 is an equidigital number, since it uses as much as digits as its factorization.

10006877 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 10006877 is about 3163.3648224636. The cubic root of 10006877 is about 215.4928445109.

Adding to 10006877 its reverse (77860001), we get a palindrome (87866878).

The spelling of 10006877 in words is "ten million, six thousand, eight hundred seventy-seven".