10916 has 6 divisors (see below), whose sum is σ = 19110. Its totient is φ = 5456.

The previous prime is 10909. The next prime is 10937. The reversal of 10916 is 61901.

It can be written as a sum of positive squares in only one way, i.e., 10816 + 100 = 104^2 + 10^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 10894 and 10903.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1361 + ... + 1368.

It is an arithmetic number, because the mean of its divisors is an integer number (3185).

2¹⁰⁹¹⁶ is an apocalyptic number.

It is an amenable number.

10916 is a deficient number, since it is larger than the sum of its proper divisors (8194).

10916 is a wasteful number, since it uses less digits than its factorization.

10916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 10916 is about 104.4796630929. The cubic root of 10916 is about 22.1830457897.

It can be divided in two parts, 109 and 16, that added together give a cube (125 = 5³).

The spelling of 10916 in words is "ten thousand, nine hundred sixteen".