105736650101 has 2 divisors, whose sum is σ = 105736650102. Its totient is φ = 105736650100.

The previous prime is 105736650079. The next prime is 105736650113. The reversal of 105736650101 is 101056637501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73129680625 + 32606969476 = 270425^2 + 180574^2 .

It is a cyclic number.

It is not a de Polignac number, because 105736650101 - 2³⁰ = 104662908277 is a prime.

It is a super-2 number, since 2×105736650101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105736650001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52868325050 + 52868325051.

It is an arithmetic number, because the mean of its divisors is an integer number (52868325051).

Almost surely, 2^105736650101 is an apocalyptic number.

It is an amenable number.

105736650101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105736650101 is an equidigital number, since it uses as much as digits as its factorization.

105736650101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 35.

The spelling of 105736650101 in words is "one hundred five billion, seven hundred thirty-six million, six hundred fifty thousand, one hundred one".