105523601593 has 2 divisors, whose sum is σ = 105523601594. Its totient is φ = 105523601592.

The previous prime is 105523601591. The next prime is 105523601641. The reversal of 105523601593 is 395106325501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105502835344 + 20766249 = 324812^2 + 4557^2 .

It is a cyclic number.

It is not a de Polignac number, because 105523601593 - 2¹ = 105523601591 is a prime.

It is a super-2 number, since 2×105523601593² (a number of 23 digits) contains 22 as substring.

Together with 105523601591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105523601591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52761800796 + 52761800797.

It is an arithmetic number, because the mean of its divisors is an integer number (52761800797).

Almost surely, 2^105523601593 is an apocalyptic number.

It is an amenable number.

105523601593 is a deficient number, since it is larger than the sum of its proper divisors (1).

105523601593 is an equidigital number, since it uses as much as digits as its factorization.

105523601593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 121500, while the sum is 40.

The spelling of 105523601593 in words is "one hundred five billion, five hundred twenty-three million, six hundred one thousand, five hundred ninety-three".