10517424 has 40 divisors (see below), whose sum is σ = 28770480. Its totient is φ = 3299328.

The previous prime is 10517411. The next prime is 10517447. The reversal of 10517424 is 42471501.

It is a super-2 number, since 2×10517424² = 221232415191552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10517394 and 10517403.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5629 + ... + 7260.

It is an arithmetic number, because the mean of its divisors is an integer number (719262).

Almost surely, 2^10517424 is an apocalyptic number.

It is an amenable number.

10517424 is an abundant number, since it is smaller than the sum of its proper divisors (18253056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10517424 is a wasteful number, since it uses less digits than its factorization.

10517424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12917 (or 12911 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 10517424 is about 3243.0578163209. The cubic root of 10517424 is about 219.0970150432.

Adding to 10517424 its reverse (42471501), we get a palindrome (52988925).

The spelling of 10517424 in words is "ten million, five hundred seventeen thousand, four hundred twenty-four".