10116 has 18 divisors (see below), whose sum is σ = 25662. Its totient is φ = 3360.

The previous prime is 10111. The next prime is 10133. The reversal of 10116 is 61101.

10116 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 9216 + 900 = 96^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10098 and 10107.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10116.

It is not an unprimeable number, because it can be changed into a prime (10111) by changing a digit.

10116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105 + ... + 176.

2¹⁰¹¹⁶ is an apocalyptic number.

It is an amenable number.

10116 is an abundant number, since it is smaller than the sum of its proper divisors (15546).

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

10116 is a wasteful number, since it uses less digits than its factorization.

10116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10116 is about 100.5783276854. The cubic root of 10116 is about 21.6273316563.

Adding to 10116 its reverse (61101), we get a palindrome (71217).

The spelling of 10116 in words is "ten thousand, one hundred sixteen".