105814973 has 24 divisors (see below), whose sum is σ = 124625088. Its totient is φ = 88880000.

The previous prime is 105814949. The next prime is 105814981. The reversal of 105814973 is 379418501.

It is not a de Polignac number, because 105814973 - 2¹⁶ = 105749437 is a prime.

It is a super-2 number, since 2×105814973² = 22393617021981458, 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 (105814913) 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 23 ways as a sum of consecutive naturals, for example, 1047623 + ... + 1047723.

It is an arithmetic number, because the mean of its divisors is an integer number (5192712).

Almost surely, 2^105814973 is an apocalyptic number.

It is an amenable number.

105814973 is a deficient number, since it is larger than the sum of its proper divisors (18810115).

105814973 is a wasteful number, since it uses less digits than its factorization.

105814973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 105814973 is about 10286.6405108762. The cubic root of 105814973 is about 472.9868229772.

The spelling of 105814973 in words is "one hundred five million, eight hundred fourteen thousand, nine hundred seventy-three".