16100 has 36 divisors (see below), whose sum is σ = 41664. Its totient is φ = 5280.

The previous prime is 16097. The next prime is 16103. The reversal of 16100 is 161.

It is an interprime number because it is at equal distance from previous prime (16097) and next prime (16103).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16100.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689 + ... + 711.

2¹⁶¹⁰⁰ is an apocalyptic number.

16100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832).

16100 is an abundant number, since it is smaller than the sum of its proper divisors (25564).

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

16100 is a wasteful number, since it uses less digits than its factorization.

16100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 37 counting only the distinct ones).

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

The square root of 16100 is about 126.8857754045. The cubic root of 16100 is about 25.2508087183.

Adding to 16100 its reverse (161), we get a palindrome (16261).

Multiplying 16100 by its reverse (161), we get a square (2592100 = 1610²).

16100 divided by its reverse (161) gives a square (100 = 10²).

The spelling of 16100 in words is "sixteen thousand, one hundred".