105891561216 has 432 divisors, whose sum is σ = 373581062400. Its totient is φ = 28171763712.

The previous prime is 105891561119. The next prime is 105891561241. The reversal of 105891561216 is 612165198501.

105891561216 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 9 + 15 + 612 + 16 = 666.

It is a super-2 number, since 2×105891561216² (a number of 23 digits) contains 22 as substring.

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, 18076560 + ... + 18082416.

Almost surely, 2^105891561216 is an apocalyptic number.

105891561216 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 105891561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186790531200).

105891561216 is an abundant number, since it is smaller than the sum of its proper divisors (267689501184).

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

105891561216 is a wasteful number, since it uses less digits than its factorization.

105891561216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 105891561216 in words is "one hundred five billion, eight hundred ninety-one million, five hundred sixty-one thousand, two hundred sixteen".