105268609 has 2 divisors, whose sum is σ = 105268610. Its totient is φ = 105268608.

The previous prime is 105268549. The next prime is 105268613. The reversal of 105268609 is 906862501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100942209 + 4326400 = 10047^2 + 2080^2 .

It is a cyclic number.

It is not a de Polignac number, because 105268609 - 2⁷ = 105268481 is a prime.

It is a super-2 number, since 2×105268609² = 22162960081589762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105268619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52634304 + 52634305.

It is an arithmetic number, because the mean of its divisors is an integer number (52634305).

Almost surely, 2^105268609 is an apocalyptic number.

It is an amenable number.

105268609 is a deficient number, since it is larger than the sum of its proper divisors (1).

105268609 is an equidigital number, since it uses as much as digits as its factorization.

105268609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 105268609 is about 10260.0491714221. The cubic root of 105268609 is about 472.1713459704.

The spelling of 105268609 in words is "one hundred five million, two hundred sixty-eight thousand, six hundred nine".