2105121216 has 336 divisors, whose sum is σ = 6572625920. Its totient is φ = 593049600.

The previous prime is 2105121209. The next prime is 2105121233. The reversal of 2105121216 is 6121215012.

It is a junction number, because it is equal to n+sod(n) for n = 2105121192 and 2105121201.

It is a congruent number.

It is an unprimeable number.

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, 26647065 + ... + 26647143.

Almost surely, 2^2105121216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3286312960).

2105121216 is an abundant number, since it is smaller than the sum of its proper divisors (4467504704).

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

2105121216 is a wasteful number, since it uses less digits than its factorization.

2105121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 2105121216 is about 45881.5999721021. The cubic root of 2105121216 is about 1281.6192917618.

Adding to 2105121216 its reverse (6121215012), we get a palindrome (8226336228).

It can be divided in two parts, 2105 and 121216, that added together give a palindrome (123321).

The spelling of 2105121216 in words is "two billion, one hundred five million, one hundred twenty-one thousand, two hundred sixteen".