105755922272 has 576 divisors, whose sum is σ = 294847257600. Its totient is φ = 36984729600.

The previous prime is 105755922263. The next prime is 105755922301. The reversal of 105755922272 is 272229557501.

It is a super-2 number, since 2×105755922272² (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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1448711228 + ... + 1448711300.

It is an arithmetic number, because the mean of its divisors is an integer number (511887600).

Almost surely, 2^105755922272 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 105755922272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147423628800).

105755922272 is an abundant number, since it is smaller than the sum of its proper divisors (189091335328).

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

105755922272 is a wasteful number, since it uses less digits than its factorization.

105755922272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 47.

The spelling of 105755922272 in words is "one hundred five billion, seven hundred fifty-five million, nine hundred twenty-two thousand, two hundred seventy-two".