10085877 has 20 divisors (see below), whose sum is σ = 15439116. Its totient is φ = 6557760.

The previous prime is 10085857. The next prime is 10085893. The reversal of 10085877 is 77858001.

It can be written as a sum of positive squares in 2 ways, for example, as 4137156 + 5948721 = 2034^2 + 2439^2 .

It is not a de Polignac number, because 10085877 - 2⁶ = 10085813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085857) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1803 + ... + 4839.

Almost surely, 2^10085877 is an apocalyptic number.

It is an amenable number.

10085877 is a deficient number, since it is larger than the sum of its proper divisors (5353239).

10085877 is an equidigital number, since it uses as much as digits as its factorization.

10085877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 10085877 is about 3175.8269789143. The cubic root of 10085877 is about 216.0584332650.

The spelling of 10085877 in words is "ten million, eighty-five thousand, eight hundred seventy-seven".