105726416053 has 2 divisors, whose sum is σ = 105726416054. Its totient is φ = 105726416052.

The previous prime is 105726415999. The next prime is 105726416057. The reversal of 105726416053 is 350614627501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105064794769 + 661621284 = 324137^2 + 25722^2 .

It is a cyclic number.

It is not a de Polignac number, because 105726416053 - 2¹⁷ = 105726284981 is a prime.

It is a super-2 number, since 2×105726416053² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105726415997 and 105726416015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105726416057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52863208026 + 52863208027.

It is an arithmetic number, because the mean of its divisors is an integer number (52863208027).

Almost surely, 2^105726416053 is an apocalyptic number.

It is an amenable number.

105726416053 is a deficient number, since it is larger than the sum of its proper divisors (1).

105726416053 is an equidigital number, since it uses as much as digits as its factorization.

105726416053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 105726416053 in words is "one hundred five billion, seven hundred twenty-six million, four hundred sixteen thousand, fifty-three".