105775241061096 has 192 divisors, whose sum is σ = 306107500608000. Its totient is φ = 32900555064960.

The previous prime is 105775241061073. The next prime is 105775241061097. The reversal of 105775241061096 is 690160142577501.

105775241061096 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 7 + 5 + 2 + 4 + 10 + 610 + 9 + 6 = 666.

It is a super-2 number, since 2×105775241061096² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105775241061097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36175845 + ... + 38990283.

It is an arithmetic number, because the mean of its divisors is an integer number (1594309899000).

Almost surely, 2^{105775241061096} 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 105775241061096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153053750304000).

105775241061096 is an abundant number, since it is smaller than the sum of its proper divisors (200332259546904).

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

105775241061096 is a wasteful number, since it uses less digits than its factorization.

105775241061096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814884 (or 2814877 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 105775241061096 in words is "one hundred five trillion, seven hundred seventy-five billion, two hundred forty-one million, sixty-one thousand, ninety-six".