2105103440440 has 512 divisors, whose sum is σ = 6444098519040. Its totient is φ = 597648844800.

The previous prime is 2105103440359. The next prime is 2105103440477. The reversal of 2105103440440 is 440443015012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2105103440399 and 2105103440408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1431068905 + ... + 1431070375.

It is an arithmetic number, because the mean of its divisors is an integer number (12586129920).

Almost surely, 2^{2105103440440} is an apocalyptic number.

2105103440440 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 2105103440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222049259520).

2105103440440 is an abundant number, since it is smaller than the sum of its proper divisors (4338995078600).

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

2105103440440 is a wasteful number, since it uses less digits than its factorization.

2105103440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 2105103440440 its reverse (440443015012), we get a palindrome (2545546455452).

The spelling of 2105103440440 in words is "two trillion, one hundred five billion, one hundred three million, four hundred forty thousand, four hundred forty".