105794442 has 48 divisors (see below), whose sum is σ = 249100488. Its totient is φ = 32256000.

The previous prime is 105794387. The next prime is 105794443. The reversal of 105794442 is 244497501.

It is a happy number.

105794442 is a `hidden beast` number, since 1 + 0 + 579 + 44 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13461561 + 92332881 = 3669^2 + 9609^2 .

It is a super-2 number, since 2×105794442² = 22384927916182728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105794397 and 105794406.

It is not an unprimeable number, because it can be changed into a prime (105794443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24442 + ... + 28442.

Almost surely, 2^105794442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105794442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124550244).

105794442 is an abundant number, since it is smaller than the sum of its proper divisors (143306046).

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

105794442 is a wasteful number, since it uses less digits than its factorization.

105794442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 105794442 is about 10285.6425176068. The cubic root of 105794442 is about 472.9562302035.

The spelling of 105794442 in words is "one hundred five million, seven hundred ninety-four thousand, four hundred forty-two".