105799835 has 16 divisors (see below), whose sum is σ = 131098176. Its totient is φ = 81906048.

The previous prime is 105799829. The next prime is 105799843. The reversal of 105799835 is 538997501.

It is a cyclic number.

It is not a de Polignac number, because 105799835 - 2¹⁰ = 105798811 is a prime.

It is a super-2 number, since 2×105799835² = 22387210172054450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105799835.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34994 + ... + 37896.

It is an arithmetic number, because the mean of its divisors is an integer number (8193636).

Almost surely, 2^105799835 is an apocalyptic number.

105799835 is a deficient number, since it is larger than the sum of its proper divisors (25298341).

105799835 is a wasteful number, since it uses less digits than its factorization.

105799835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142.

The product of its (nonzero) digits is 340200, while the sum is 47.

The square root of 105799835 is about 10285.9046758173. The cubic root of 105799835 is about 472.9642665727.

The spelling of 105799835 in words is "one hundred five million, seven hundred ninety-nine thousand, eight hundred thirty-five".