105823385 has 16 divisors (see below), whose sum is σ = 135530496. Its totient is φ = 79043328.

The previous prime is 105823381. The next prime is 105823409. The reversal of 105823385 is 583328501.

It is a cyclic number.

It is not a de Polignac number, because 105823385 - 2² = 105823381 is a prime.

It is a super-2 number, since 2×105823385² = 22397177625716450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105823381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5894 + ... + 15696.

It is an arithmetic number, because the mean of its divisors is an integer number (8470656).

Almost surely, 2^105823385 is an apocalyptic number.

It is an amenable number.

105823385 is a deficient number, since it is larger than the sum of its proper divisors (29707111).

105823385 is a wasteful number, since it uses less digits than its factorization.

105823385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952.

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 105823385 is about 10287.0493825975. The cubic root of 105823385 is about 472.9993563633. Note that the first 3 decimals are identical.

The spelling of 105823385 in words is "one hundred five million, eight hundred twenty-three thousand, three hundred eighty-five".