105916523 has 2 divisors, whose sum is σ = 105916524. Its totient is φ = 105916522.

The previous prime is 105916493. The next prime is 105916537. The reversal of 105916523 is 325619501.

It is a strong prime.

It is an emirp because it is prime and its reverse (325619501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105916523 - 2¹⁴ = 105900139 is a prime.

It is a super-2 number, since 2×105916523² = 22436619688819058, which contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105916523.

It is not a weakly prime, because it can be changed into another prime (105916543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52958261 + 52958262.

It is an arithmetic number, because the mean of its divisors is an integer number (52958262).

Almost surely, 2^105916523 is an apocalyptic number.

105916523 is a deficient number, since it is larger than the sum of its proper divisors (1).

105916523 is an equidigital number, since it uses as much as digits as its factorization.

105916523 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 105916523 is about 10291.5753410253. The cubic root of 105916523 is about 473.1380821466.

The spelling of 105916523 in words is "one hundred five million, nine hundred sixteen thousand, five hundred twenty-three".