10517016 has 64 divisors (see below), whose sum is σ = 28188000. Its totient is φ = 3258368.

The previous prime is 10517011. The next prime is 10517047. The reversal of 10517016 is 61071501.

It is a super-2 number, since 2×10517016² = 221215251088512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10516983 and 10517001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10517011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60706 + ... + 60878.

Almost surely, 2^10517016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10517016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094000).

10517016 is an abundant number, since it is smaller than the sum of its proper divisors (17670984).

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

10517016 is a wasteful number, since it uses less digits than its factorization.

10517016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 10517016 is about 3242.9949121144. The cubic root of 10517016 is about 219.0941818799.

Adding to 10517016 its reverse (61071501), we get a palindrome (71588517).

The spelling of 10517016 in words is "ten million, five hundred seventeen thousand, sixteen".