105704809 has 12 divisors (see below), whose sum is σ = 129435600. Its totient is φ = 85834728.

The previous prime is 105704789. The next prime is 105704831. The reversal of 105704809 is 908407501.

It is a happy number.

It is not a de Polignac number, because 105704809 - 2⁵ = 105704777 is a prime.

It is a super-2 number, since 2×105704809² = 22347013291452962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105704009) 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, 55839 + ... + 57700.

It is an arithmetic number, because the mean of its divisors is an integer number (10786300).

Almost surely, 2^105704809 is an apocalyptic number.

105704809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105704809 is a deficient number, since it is larger than the sum of its proper divisors (23730791).

105704809 is a wasteful number, since it uses less digits than its factorization.

105704809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113572 (or 113565 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 105704809 is about 10281.2844041978. The cubic root of 105704809 is about 472.8226237405.

The spelling of 105704809 in words is "one hundred five million, seven hundred four thousand, eight hundred nine".