105735808 has 16 divisors (see below), whose sum is σ = 210645810. Its totient is φ = 52867840.

The previous prime is 105735797. The next prime is 105735809. The reversal of 105735808 is 808537501.

It can be written as a sum of positive squares in only one way, i.e., 101767744 + 3968064 = 10088^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×105735808² = 22360122186825728, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105735809) 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, 412903 + ... + 413158.

Almost surely, 2^105735808 is an apocalyptic number.

It is an amenable number.

105735808 is a deficient number, since it is larger than the sum of its proper divisors (104910002).

105735808 is an frugal number, since it uses more digits than its factorization.

105735808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826075 (or 826063 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 105735808 is about 10282.7918387955. The cubic root of 105735808 is about 472.8688392221.

The spelling of 105735808 in words is "one hundred five million, seven hundred thirty-five thousand, eight hundred eight".