105873983 has 16 divisors (see below), whose sum is σ = 114000000. Its totient is φ = 98122752.

The previous prime is 105873967. The next prime is 105874031. The reversal of 105873983 is 389378501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105873983 - 2⁴ = 105873967 is a prime.

It is a super-2 number, since 2×105873983² = 22418600552568578, 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 (105873923) 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, 84143 + ... + 85391.

It is an arithmetic number, because the mean of its divisors is an integer number (7125000).

Almost surely, 2^105873983 is an apocalyptic number.

105873983 is a deficient number, since it is larger than the sum of its proper divisors (8126017).

105873983 is a wasteful number, since it uses less digits than its factorization.

105873983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394.

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 105873983 is about 10289.5083944764. The cubic root of 105873983 is about 473.0747304030.

The spelling of 105873983 in words is "one hundred five million, eight hundred seventy-three thousand, nine hundred eighty-three".