105775241061160 has 192 divisors, whose sum is σ = 273453849446400. Its totient is φ = 36751777920000.

The previous prime is 105775241061103. The next prime is 105775241061181. The reversal of 105775241061160 is 61160142577501.

It is a super-2 number, since 2×105775241061160² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105775241061160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7391260 + ... + 16315060.

It is an arithmetic number, because the mean of its divisors is an integer number (1424238799200).

Almost surely, 2^{105775241061160} is an apocalyptic number.

105775241061160 is a gapful number since it is divisible by the number (10) 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 105775241061160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136726924723200).

105775241061160 is an abundant number, since it is smaller than the sum of its proper divisors (167678608385240).

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

105775241061160 is a wasteful number, since it uses less digits than its factorization.

105775241061160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8923944 (or 8923929 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 46.

The spelling of 105775241061160 in words is "one hundred five trillion, seven hundred seventy-five billion, two hundred forty-one million, sixty-one thousand, one hundred sixty".