105165270523 has 2 divisors, whose sum is σ = 105165270524. Its totient is φ = 105165270522.

The previous prime is 105165270499. The next prime is 105165270563. The reversal of 105165270523 is 325072561501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105165270523 - 2⁹ = 105165270011 is a prime.

It is a super-2 number, since 2×105165270523² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105165270563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52582635261 + 52582635262.

It is an arithmetic number, because the mean of its divisors is an integer number (52582635262).

Almost surely, 2^105165270523 is an apocalyptic number.

105165270523 is a deficient number, since it is larger than the sum of its proper divisors (1).

105165270523 is an equidigital number, since it uses as much as digits as its factorization.

105165270523 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63000, while the sum is 37.

The spelling of 105165270523 in words is "one hundred five billion, one hundred sixty-five million, two hundred seventy thousand, five hundred twenty-three".