105349905 has 24 divisors (see below), whose sum is σ = 183097512. Its totient is φ = 56035584.

The previous prime is 105349819. The next prime is 105349921. The reversal of 105349905 is 509943501.

It can be written as a sum of positive squares in 4 ways, for example, as 39350529 + 65999376 = 6273^2 + 8124^2 .

It is not a de Polignac number, because 105349905 - 2¹² = 105345809 is a prime.

It is a super-2 number, since 2×105349905² = 22197204967018050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105349905.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 14917 + ... + 20813.

It is an arithmetic number, because the mean of its divisors is an integer number (7629063).

Almost surely, 2^105349905 is an apocalyptic number.

105349905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105349905 is a deficient number, since it is larger than the sum of its proper divisors (77747607).

105349905 is a wasteful number, since it uses less digits than its factorization.

105349905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6305 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105349905 is about 10264.0101812109. The cubic root of 105349905 is about 472.2928629321.

The spelling of 105349905 in words is "one hundred five million, three hundred forty-nine thousand, nine hundred five".