2114100 has 126 divisors (see below), whose sum is σ = 7115430. Its totient is φ = 544320.

The previous prime is 2114089. The next prime is 2114113. The reversal of 2114100 is 14112.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 142884 + 1971216 = 378^2 + 1404^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 72886 + ... + 72914.

2^2114100 is an apocalyptic number.

2114100 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 2114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557715).

2114100 is an abundant number, since it is smaller than the sum of its proper divisors (5001330).

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

2114100 is a wasteful number, since it uses less digits than its factorization.

2114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2114100 is about 1453.9944979263. The cubic root of 2114100 is about 128.3438832428.

Adding to 2114100 its reverse (14112), we get a palindrome (2128212).

The spelling of 2114100 in words is "two million, one hundred fourteen thousand, one hundred".