105908571216 has 120 divisors (see below), whose sum is σ = 338877012864. Its totient is φ = 30247292160.

The previous prime is 105908571173. The next prime is 105908571221. The reversal of 105908571216 is 612175809501.

105908571216 is a `hidden beast` number, since 1 + 0 + 59 + 0 + 8 + 571 + 21 + 6 = 666.

105908571216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×105908571216³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2621925 + ... + 2662011.

Almost surely, 2^105908571216 is an apocalyptic number.

105908571216 is a gapful number since it is divisible by the number (16) 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 105908571216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169438506432).

105908571216 is an abundant number, since it is smaller than the sum of its proper divisors (232968441648).

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

105908571216 is a wasteful number, since it uses less digits than its factorization.

105908571216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42729 (or 42720 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 105908571216 in words is "one hundred five billion, nine hundred eight million, five hundred seventy-one thousand, two hundred sixteen".