105513475366097 has 2 divisors, whose sum is σ = 105513475366098. Its totient is φ = 105513475366096.

The previous prime is 105513475366073. The next prime is 105513475366109. The reversal of 105513475366097 is 790663574315501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89209517316241 + 16303958049856 = 9445079^2 + 4037816^2 .

It is a cyclic number.

It is not a de Polignac number, because 105513475366097 - 2⁸ = 105513475365841 is a prime.

It is a super-2 number, since 2×105513475366097² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105513475366007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52756737683048 + 52756737683049.

It is an arithmetic number, because the mean of its divisors is an integer number (52756737683049).

Almost surely, 2^{105513475366097} is an apocalyptic number.

It is an amenable number.

105513475366097 is a deficient number, since it is larger than the sum of its proper divisors (1).

105513475366097 is an equidigital number, since it uses as much as digits as its factorization.

105513475366097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 71442000, while the sum is 62.

The spelling of 105513475366097 in words is "one hundred five trillion, five hundred thirteen billion, four hundred seventy-five million, three hundred sixty-six thousand, ninety-seven".