10516 has 12 divisors (see below), whose sum is σ = 20160. Its totient is φ = 4760.

The previous prime is 10513. The next prime is 10529. The reversal of 10516 is 61501.

It is a super-2 number, since 2×10516² = 221172512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10496 and 10505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2¹⁰⁵¹⁶ is an apocalyptic number.

It is an amenable number.

10516 is a deficient number, since it is larger than the sum of its proper divisors (9644).

10516 is a wasteful number, since it uses less digits than its factorization.

10516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10516 is about 102.5475499464. The cubic root of 10516 is about 21.9087126429.

It can be divided in two parts, 105 and 16, that added together give a palindrome (121).

The spelling of 10516 in words is "ten thousand, five hundred sixteen".