2146100 has 36 divisors (see below), whose sum is σ = 5083008. Its totient is φ = 780000.

The previous prime is 2146093. The next prime is 2146103. The reversal of 2146100 is 16412.

2146100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146103) 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 11 ways as a sum of consecutive naturals, for example, 125 + ... + 2075.

2^2146100 is an apocalyptic number.

2146100 is a gapful number since it is divisible by the number (20) 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 2146100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541504).

2146100 is an abundant number, since it is smaller than the sum of its proper divisors (2936908).

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

2146100 is a wasteful number, since it uses less digits than its factorization.

2146100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2146100 is about 1464.9573372628. The cubic root of 2146100 is about 128.9882007516.

The spelling of 2146100 in words is "two million, one hundred forty-six thousand, one hundred".