105849823 has 8 divisors (see below), whose sum is σ = 110211696. Its totient is φ = 101572800.

The previous prime is 105849767. The next prime is 105849827. The reversal of 105849823 is 328948501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105849823 - 2¹⁷ = 105718751 is a prime.

It is a super-2 number, since 2×105849823² = 22408370058262658, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105849827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18661 + ... + 23662.

It is an arithmetic number, because the mean of its divisors is an integer number (13776462).

Almost surely, 2^105849823 is an apocalyptic number.

105849823 is a deficient number, since it is larger than the sum of its proper divisors (4361873).

105849823 is an equidigital number, since it uses as much as digits as its factorization.

105849823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42425.

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 105849823 is about 10288.3343161077. The cubic root of 105849823 is about 473.0387431073.

The spelling of 105849823 in words is "one hundred five million, eight hundred forty-nine thousand, eight hundred twenty-three".