10517120 has 32 divisors (see below), whose sum is σ = 25144020. Its totient is φ = 4206592.

The previous prime is 10517077. The next prime is 10517147. The reversal of 10517120 is 2171501.

It can be written as a sum of positive squares in 2 ways, for example, as 9784384 + 732736 = 3128^2 + 856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10517120² = 221219626188800, which contains 22 as substring.

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7577 + ... + 8856.

Almost surely, 2^10517120 is an apocalyptic number.

10517120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10517120 is an abundant number, since it is smaller than the sum of its proper divisors (14626900).

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

10517120 is an equidigital number, since it uses as much as digits as its factorization.

10517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16452 (or 16440 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 10517120 is about 3243.0109466359. The cubic root of 10517120 is about 219.0949040657.

Adding to 10517120 its reverse (2171501), we get a palindrome (12688621).

The spelling of 10517120 in words is "ten million, five hundred seventeen thousand, one hundred twenty".