105794392860 has 864 divisors, whose sum is σ = 396314493120. Its totient is φ = 22617833472.

The previous prime is 105794392817. The next prime is 105794392861. The reversal of 105794392860 is 68293497501.

105794392860 is a `hidden beast` number, since 1 + 0 + 579 + 4 + 3 + 9 + 2 + 8 + 60 = 666.

It is a super-2 number, since 2×105794392860² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105794392797 and 105794392806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105794392861) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 761110671 + ... + 761110809.

It is an arithmetic number, because the mean of its divisors is an integer number (458697330).

It is a 1-persistent number, because it is pandigital, but 2⋅105794392860 = 211588785720 is not.

Almost surely, 2^105794392860 is an apocalyptic number.

105794392860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 325260×325261.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105794392860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198157246560).

105794392860 is an abundant number, since it is smaller than the sum of its proper divisors (290520100260).

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

105794392860 is a wasteful number, since it uses less digits than its factorization.

105794392860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 105794392860 in words is "one hundred five billion, seven hundred ninety-four million, three hundred ninety-two thousand, eight hundred sixty".