2166100 has 18 divisors (see below), whose sum is σ = 4700654. Its totient is φ = 866400.

The previous prime is 2166077. The next prime is 2166113. The reversal of 2166100 is 16612.

2166100 = T₂₆₉ + T₂₇₀ + ... + T₃₁₈.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 2114116 = 228^2 + 1454^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10731 + ... + 10930.

2^2166100 is an apocalyptic number.

2166100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166100 is an abundant number, since it is smaller than the sum of its proper divisors (2534554).

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

2166100 is a wasteful number, since it uses less digits than its factorization.

2166100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21675 (or 21668 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2166100 is about 1471.7676447048. The cubic root of 2166100 is about 129.3876526946.

The spelling of 2166100 in words is "two million, one hundred sixty-six thousand, one hundred".