16107 has 16 divisors (see below), whose sum is σ = 26880. Its totient is φ = 8352.

The previous prime is 16103. The next prime is 16111. The reversal of 16107 is 70161.

16107 = 29² + 30² + ... + 41².

16107 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16103) and next prime (16111).

It is not a de Polignac number, because 16107 - 2² = 16103 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 11.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244 + ... + 302.

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

2¹⁶¹⁰⁷ is an apocalyptic number.

16107 is a deficient number, since it is larger than the sum of its proper divisors (10773).

16107 is a wasteful number, since it uses less digits than its factorization.

16107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 16107 is about 126.9133562711. The cubic root of 16107 is about 25.2544677256.

Adding to 16107 its reverse (70161), we get a palindrome (86268).

The spelling of 16107 in words is "sixteen thousand, one hundred seven".