105268523 has 2 divisors, whose sum is σ = 105268524. Its totient is φ = 105268522.

The previous prime is 105268519. The next prime is 105268549. The reversal of 105268523 is 325862501.

It is a weak prime.

It is an emirp because it is prime and its reverse (325862501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105268523 - 2² = 105268519 is a prime.

It is a super-2 number, since 2×105268523² = 22162923869203058, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105268523.

It is not a weakly prime, because it can be changed into another prime (105268223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52634261 + 52634262.

It is an arithmetic number, because the mean of its divisors is an integer number (52634262).

Almost surely, 2^105268523 is an apocalyptic number.

105268523 is a deficient number, since it is larger than the sum of its proper divisors (1).

105268523 is an equidigital number, since it uses as much as digits as its factorization.

105268523 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 105268523 is about 10260.0449804082. The cubic root of 105268523 is about 472.1712173890.

The spelling of 105268523 in words is "one hundred five million, two hundred sixty-eight thousand, five hundred twenty-three".