10585124 has 12 divisors (see below), whose sum is σ = 20208048. Its totient is φ = 4811400.

The previous prime is 10585123. The next prime is 10585139. The reversal of 10585124 is 42158501.

It is a super-2 number, since 2×10585124² = 224089700190752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10585093 and 10585102.

It is not an unprimeable number, because it can be changed into a prime (10585121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120242 + ... + 120329.

It is an arithmetic number, because the mean of its divisors is an integer number (1684004).

Almost surely, 2^10585124 is an apocalyptic number.

It is an amenable number.

10585124 is a deficient number, since it is larger than the sum of its proper divisors (9622924).

10585124 is a wasteful number, since it uses less digits than its factorization.

10585124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240586 (or 240584 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 10585124 is about 3253.4787535805. The cubic root of 10585124 is about 219.5661145478.

The spelling of 10585124 in words is "ten million, five hundred eighty-five thousand, one hundred twenty-four".