105711993 has 8 divisors (see below), whose sum is σ = 156610400. Its totient is φ = 70474644.

The previous prime is 105711961. The next prime is 105712003. The reversal of 105711993 is 399117501.

It is not a de Polignac number, because 105711993 - 2⁵ = 105711961 is a prime.

It is a super-2 number, since 2×105711993² = 22350050928064098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105711943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1957603 + ... + 1957656.

It is an arithmetic number, because the mean of its divisors is an integer number (19576300).

Almost surely, 2^105711993 is an apocalyptic number.

It is an amenable number.

105711993 is a deficient number, since it is larger than the sum of its proper divisors (50898407).

105711993 is an equidigital number, since it uses as much as digits as its factorization.

105711993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915268 (or 3915262 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 36.

The square root of 105711993 is about 10281.6337709529. The cubic root of 105711993 is about 472.8333349554.

The spelling of 105711993 in words is "one hundred five million, seven hundred eleven thousand, nine hundred ninety-three".