2131104 has 48 divisors (see below), whose sum is σ = 5685120. Its totient is φ = 698880.

The previous prime is 2131099. The next prime is 2131109. The reversal of 2131104 is 4011312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2131099) and next prime (2131109).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 2131104.

It is not an unprimeable number, because it can be changed into a prime (2131109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7444 + ... + 7724.

It is an arithmetic number, because the mean of its divisors is an integer number (118440).

2^2131104 is an apocalyptic number.

2131104 is a gapful number since it is divisible by the number (24) 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 2131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842560).

2131104 is an abundant number, since it is smaller than the sum of its proper divisors (3554016).

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

2131104 is a wasteful number, since it uses less digits than its factorization.

2131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2131104 is about 1459.8301271038. The cubic root of 2131104 is about 128.6870607004.

Subtracting from 2131104 its product of nonzero digits (24), we obtain a triangular number (2131080 = T₂₀₆₄).

Adding to 2131104 its reverse (4011312), we get a palindrome (6142416).

It can be divided in two parts, 21 and 31104, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 2131104 in words is "two million, one hundred thirty-one thousand, one hundred four".