2103084144 has 480 divisors, whose sum is σ = 7621226496. Its totient is φ = 527523840.

The previous prime is 2103084101. The next prime is 2103084157. The reversal of 2103084144 is 4414803012.

2103084144 is a `hidden beast` number, since 210 + 30 + 8 + 414 + 4 = 666.

It is a super-3 number, since 3×2103084144³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19654939 + ... + 19655045.

Almost surely, 2^2103084144 is an apocalyptic number.

2103084144 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 2103084144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810613248).

2103084144 is an abundant number, since it is smaller than the sum of its proper divisors (5518142352).

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

2103084144 is a wasteful number, since it uses less digits than its factorization.

2103084144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2103084144 is about 45859.3953732493. The cubic root of 2103084144 is about 1281.2057616009.

Adding to 2103084144 its reverse (4414803012), we get a palindrome (6517887156).

The spelling of 2103084144 in words is "two billion, one hundred three million, eighty-four thousand, one hundred forty-four".