105113724601 has 2 divisors, whose sum is σ = 105113724602. Its totient is φ = 105113724600.

The previous prime is 105113724577. The next prime is 105113724731. The reversal of 105113724601 is 106427311501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77144507001 + 27969217600 = 277749^2 + 167240^2 .

It is a cyclic number.

It is not a de Polignac number, because 105113724601 - 2⁷ = 105113724473 is a prime.

It is a super-2 number, since 2×105113724601² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105113724901) 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 as a sum of consecutive naturals, namely, 52556862300 + 52556862301.

It is an arithmetic number, because the mean of its divisors is an integer number (52556862301).

Almost surely, 2^105113724601 is an apocalyptic number.

It is an amenable number.

105113724601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105113724601 is an equidigital number, since it uses as much as digits as its factorization.

105113724601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 105113724601 in words is "one hundred five billion, one hundred thirteen million, seven hundred twenty-four thousand, six hundred one".