105591809 has 2 divisors, whose sum is σ = 105591810. Its totient is φ = 105591808.

The previous prime is 105591757. The next prime is 105591817. The reversal of 105591809 is 908195501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94031809 + 11560000 = 9697^2 + 3400^2 .

It is an emirp because it is prime and its reverse (908195501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105591809 - 2⁸ = 105591553 is a prime.

It is a super-2 number, since 2×105591809² = 22299260255784962, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105591509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52795904 + 52795905.

It is an arithmetic number, because the mean of its divisors is an integer number (52795905).

Almost surely, 2^105591809 is an apocalyptic number.

It is an amenable number.

105591809 is a deficient number, since it is larger than the sum of its proper divisors (1).

105591809 is an equidigital number, since it uses as much as digits as its factorization.

105591809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16200, while the sum is 38.

The square root of 105591809 is about 10275.7875124002. The cubic root of 105591809 is about 472.6540788809.

The spelling of 105591809 in words is "one hundred five million, five hundred ninety-one thousand, eight hundred nine".