105116823 has 12 divisors (see below), whose sum is σ = 173526288. Its totient is φ = 60066720.

The previous prime is 105116807. The next prime is 105116827. The reversal of 105116823 is 328611501.

It is not a de Polignac number, because 105116823 - 2⁴ = 105116807 is a prime.

It is a super-2 number, since 2×105116823² = 22099092955226658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105116827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834198 + ... + 834323.

It is an arithmetic number, because the mean of its divisors is an integer number (14460524).

Almost surely, 2^105116823 is an apocalyptic number.

105116823 is a deficient number, since it is larger than the sum of its proper divisors (68409465).

105116823 is a wasteful number, since it uses less digits than its factorization.

105116823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668534 (or 1668531 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105116823 is about 10252.6495599918. The cubic root of 105116823 is about 471.9442967277.

The spelling of 105116823 in words is "one hundred five million, one hundred sixteen thousand, eight hundred twenty-three".