105726416041 has 4 divisors (see below), whose sum is σ = 105739379284. Its totient is φ = 105713452800.

The previous prime is 105726415999. The next prime is 105726416053. The reversal of 105726416041 is 140614627501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 55828238400 + 49898177641 = 236280^2 + 223379^2 .

It is a cyclic number.

It is not a de Polignac number, because 105726416041 - 2²⁵ = 105692861609 is a prime.

It is a super-2 number, since 2×105726416041² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105726419041) 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 3 ways as a sum of consecutive naturals, for example, 6469380 + ... + 6485701.

It is an arithmetic number, because the mean of its divisors is an integer number (26434844821).

Almost surely, 2^105726416041 is an apocalyptic number.

It is an amenable number.

105726416041 is a deficient number, since it is larger than the sum of its proper divisors (12963243).

105726416041 is an equidigital number, since it uses as much as digits as its factorization.

105726416041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12963242.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 105726416041 in words is "one hundred five billion, seven hundred twenty-six million, four hundred sixteen thousand, forty-one".