10016 has 12 divisors (see below), whose sum is σ = 19782. Its totient is φ = 4992.

The previous prime is 10009. The next prime is 10037. The reversal of 10016 is 61001.

It can be written as a sum of positive squares in only one way, i.e., 10000 + 16 = 100^2 + 4^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 9985 and 10012.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10016.

It is an unprimeable number.

10016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 125 + ... + 188.

2¹⁰⁰¹⁶ is an apocalyptic number.

10016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10016 is a deficient number, since it is larger than the sum of its proper divisors (9766).

10016 is an equidigital number, since it uses as much as digits as its factorization.

10016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 10016 is about 100.0799680256. The cubic root of 10016 is about 21.5558310959. Note that the first 3 decimals are identical.

Adding to 10016 its reverse (61001), we get a palindrome (71017).

It can be divided in two parts, 1001 and 6, that multiplied together give a palindrome (6006).

The spelling of 10016 in words is "ten thousand, sixteen".