10816 has 21 divisors (see below), whose sum is σ = 23241. Its totient is φ = 4992.

The previous prime is 10799. The next prime is 10831. The reversal of 10816 is 61801.

Multipling 10816 by its sum of digits (16), we get a square (173056 = 416^{2}).

10816 divided by its sum of digits (16) gives a palindrome (676).

It can be divided in two parts, 108 and 16, that multiplied together give a cube (1728 = 12^{3}).

10816 = T_{103} + T_{104}.

The square root of 10816 is 104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1600 + 9216 = 40^2 + 96^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is a nialpdrome in base 4 and base 15.

It is a zygodrome in base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 10816.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 826 + ... + 838.

2^{10816} is an apocalyptic number.

10816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10816 is the 104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10816

10816 is an abundant number, since it is smaller than the sum of its proper divisors (12425).

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

10816 is an equidigital number, since it uses as much as digits as its factorization.

10816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The cubic root of 10816 is about 22.1150992547.

The spelling of 10816 in words is "ten thousand, eight hundred sixteen".

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