105525345193 has 2 divisors, whose sum is σ = 105525345194. Its totient is φ = 105525345192.

The previous prime is 105525345161. The next prime is 105525345221. The reversal of 105525345193 is 391543525501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105282078784 + 243266409 = 324472^2 + 15597^2 .

It is a cyclic number.

It is not a de Polignac number, because 105525345193 - 2⁵ = 105525345161 is a prime.

It is a super-2 number, since 2×105525345193² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105525342193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52762672596 + 52762672597.

It is an arithmetic number, because the mean of its divisors is an integer number (52762672597).

Almost surely, 2^105525345193 is an apocalyptic number.

It is an amenable number.

105525345193 is a deficient number, since it is larger than the sum of its proper divisors (1).

105525345193 is an equidigital number, since it uses as much as digits as its factorization.

105525345193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405000, while the sum is 43.

The spelling of 105525345193 in words is "one hundred five billion, five hundred twenty-five million, three hundred forty-five thousand, one hundred ninety-three".