2014100 has 36 divisors (see below), whose sum is σ = 4770528. Its totient is φ = 732000.

The previous prime is 2014099. The next prime is 2014121. The reversal of 2014100 is 14102.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185 + ... + 2015.

2^2014100 is an apocalyptic number.

2014100 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 2014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385264).

2014100 is an abundant number, since it is smaller than the sum of its proper divisors (2756428).

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

2014100 is a wasteful number, since it uses less digits than its factorization.

2014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1849 counting only the distinct ones).

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

The square root of 2014100 is about 1419.1899097725. The cubic root of 2014100 is about 126.2874933573.

Adding to 2014100 its reverse (14102), we get a palindrome (2028202).

The spelling of 2014100 in words is "two million, fourteen thousand, one hundred".