105726416042 has 16 divisors (see below), whose sum is σ = 170794415400. Its totient is φ = 48795210432.

The previous prime is 105726415999. The next prime is 105726416053. The reversal of 105726416042 is 240614627501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77205623881 + 28520792161 = 277859^2 + 168881^2 .

It is a super-2 number, since 2×105726416042² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105726415987 and 105726416005.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1193084 + ... + 1278632.

Almost surely, 2^105726416042 is an apocalyptic number.

105726416042 is a deficient number, since it is larger than the sum of its proper divisors (65067999358).

105726416042 is a wasteful number, since it uses less digits than its factorization.

105726416042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133097.

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 105726416042 in words is "one hundred five billion, seven hundred twenty-six million, four hundred sixteen thousand, forty-two".