10117520 has 120 divisors (see below), whose sum is σ = 28625400. Its totient is φ = 3311616.

The previous prime is 10117517. The next prime is 10117531. The reversal of 10117520 is 2571101.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 9834496 = 532^2 + 3136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113636 + ... + 113724.

It is an arithmetic number, because the mean of its divisors is an integer number (238545).

Almost surely, 2^10117520 is an apocalyptic number.

10117520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14312700).

10117520 is an abundant number, since it is smaller than the sum of its proper divisors (18507880).

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

10117520 is a wasteful number, since it uses less digits than its factorization.

10117520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

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

The square root of 10117520 is about 3180.8049295736. The cubic root of 10117520 is about 216.2841482153.

Adding to 10117520 its reverse (2571101), we get a palindrome (12688621).

The spelling of 10117520 in words is "ten million, one hundred seventeen thousand, five hundred twenty".