105235513193 has 2 divisors, whose sum is σ = 105235513194. Its totient is φ = 105235513192.

The previous prime is 105235513189. The next prime is 105235513247. The reversal of 105235513193 is 391315532501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95967985369 + 9267527824 = 309787^2 + 96268^2 .

It is a cyclic number.

It is not a de Polignac number, because 105235513193 - 2² = 105235513189 is a prime.

It is a super-2 number, since 2×105235513193² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105237513193) 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, 52617756596 + 52617756597.

It is an arithmetic number, because the mean of its divisors is an integer number (52617756597).

Almost surely, 2^105235513193 is an apocalyptic number.

It is an amenable number.

105235513193 is a deficient number, since it is larger than the sum of its proper divisors (1).

105235513193 is an equidigital number, since it uses as much as digits as its factorization.

105235513193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60750, while the sum is 38.

The spelling of 105235513193 in words is "one hundred five billion, two hundred thirty-five million, five hundred thirteen thousand, one hundred ninety-three".