10957041 has 12 divisors (see below), whose sum is σ = 16372980. Its totient is φ = 7052640.

The previous prime is 10956991. The next prime is 10957049. The reversal of 10957041 is 14075901.

10957041 is digitally balanced in base 2, 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 2 ways, for example, as 2313441 + 8643600 = 1521^2 + 2940^2 .

It is not a de Polignac number, because 10957041 - 2¹⁰ = 10956017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10956996 and 10957014.

It is not an unprimeable number, because it can be changed into a prime (10957049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20730 + ... + 21251.

It is an arithmetic number, because the mean of its divisors is an integer number (1364415).

Almost surely, 2^10957041 is an apocalyptic number.

It is an amenable number.

10957041 is a deficient number, since it is larger than the sum of its proper divisors (5415939).

10957041 is a wasteful number, since it uses less digits than its factorization.

10957041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42016 (or 42013 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 10957041 is about 3310.1421419631. The cubic root of 10957041 is about 222.1081163175.

The spelling of 10957041 in words is "ten million, nine hundred fifty-seven thousand, forty-one".