105969609 has 12 divisors (see below), whose sum is σ = 153405252. Its totient is φ = 70490400.

The previous prime is 105969607. The next prime is 105969623. The reversal of 105969609 is 906969501.

It can be written as a sum of positive squares in 2 ways, for example, as 40602384 + 65367225 = 6372^2 + 8085^2 .

It is not a de Polignac number, because 105969609 - 2¹ = 105969607 is a prime.

It is a super-2 number, since 2×105969609² = 22459116063225762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105969607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8622 + ... + 16919.

It is an arithmetic number, because the mean of its divisors is an integer number (12783771).

Almost surely, 2^105969609 is an apocalyptic number.

It is an amenable number.

105969609 is a deficient number, since it is larger than the sum of its proper divisors (47435643).

105969609 is a wasteful number, since it uses less digits than its factorization.

105969609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26008 (or 26005 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 105969609 is about 10294.1541177505. The cubic root of 105969609 is about 473.2171154974.

The spelling of 105969609 in words is "one hundred five million, nine hundred sixty-nine thousand, six hundred nine".