2105103403648 has 384 divisors, whose sum is σ = 5123761920000. Its totient is φ = 857973473280.

The previous prime is 2105103403619. The next prime is 2105103403649. The reversal of 2105103403648 is 8463043015012.

It is not an unprimeable number, because it can be changed into a prime (2105103403649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4135762818 + ... + 4135763326.

It is an arithmetic number, because the mean of its divisors is an integer number (13343130000).

Almost surely, 2^{2105103403648} is an apocalyptic number.

2105103403648 is a gapful number since it is divisible by the number (28) 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 2105103403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561880960000).

2105103403648 is an abundant number, since it is smaller than the sum of its proper divisors (3018658516352).

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

2105103403648 is a wasteful number, since it uses less digits than its factorization.

2105103403648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 2105103403648 in words is "two trillion, one hundred five billion, one hundred three million, four hundred three thousand, six hundred forty-eight".