2016100 has 18 divisors (see below), whose sum is σ = 4375154. Its totient is φ = 806400.

The previous prime is 2016059. The next prime is 2016101. The reversal of 2016100 is 16102.

It can be written as a sum of positive squares in 3 ways, for example, as 209764 + 1806336 = 458^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (2016101) 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 5 ways as a sum of consecutive naturals, for example, 9981 + ... + 10180.

2^2016100 is an apocalyptic number.

2016100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2016100 is an abundant number, since it is smaller than the sum of its proper divisors (2359054).

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

2016100 is a wasteful number, since it uses less digits than its factorization.

2016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20175 (or 20168 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2016100 is about 1419.8943622678. The cubic root of 2016100 is about 126.3292806618.

It can be divided in two parts, 2016 and 100, that added together give a square (2116 = 46²).

The spelling of 2016100 in words is "two million, sixteen thousand, one hundred".