2116900 has 18 divisors (see below), whose sum is σ = 4593890. Its totient is φ = 846720.

The previous prime is 2116867. The next prime is 2116901. The reversal of 2116900 is 96112.

It can be written as a sum of positive squares in 3 ways, for example, as 599076 + 1517824 = 774^2 + 1232^2 .

It is a super-2 number, since 2×2116900² = 8962531220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2116901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10485 + ... + 10684.

2^2116900 is an apocalyptic number.

2116900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2116900 is an abundant number, since it is smaller than the sum of its proper divisors (2476990).

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

2116900 is a wasteful number, since it uses less digits than its factorization.

2116900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21183 (or 21176 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 2116900 is about 1454.9570440394. The cubic root of 2116900 is about 128.4005195322.

It can be divided in two parts, 2116 and 900, that multiplied together give a square (1904400 = 1380²).

The spelling of 2116900 in words is "two million, one hundred sixteen thousand, nine hundred".