10128677 has 12 divisors (see below), whose sum is σ = 11131524. Its totient is φ = 9210240.

The previous prime is 10128673. The next prime is 10128689. The reversal of 10128677 is 77682101.

10128677 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2114116 + 8014561 = 1454^2 + 2831^2 .

It is not a de Polignac number, because 10128677 - 2² = 10128673 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 (10128673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11927 + ... + 12747.

It is an arithmetic number, because the mean of its divisors is an integer number (927627).

Almost surely, 2^10128677 is an apocalyptic number.

It is an amenable number.

10128677 is a deficient number, since it is larger than the sum of its proper divisors (1002847).

10128677 is an equidigital number, since it uses as much as digits as its factorization.

10128677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 10128677 is about 3182.5582476995. The cubic root of 10128677 is about 216.3636207799.

The spelling of 10128677 in words is "ten million, one hundred twenty-eight thousand, six hundred seventy-seven".