105992093 has 12 divisors (see below), whose sum is σ = 115061940. Its totient is φ = 97297920.

The previous prime is 105992077. The next prime is 105992099. The reversal of 105992093 is 390299501.

It can be written as a sum of positive squares in 6 ways, for example, as 27899524 + 78092569 = 5282^2 + 8837^2 .

It is not a de Polignac number, because 105992093 - 2⁴ = 105992077 is a prime.

It is a super-2 number, since 2×105992093² = 22468647557041298, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105992099) 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, 26723 + ... + 30431.

It is an arithmetic number, because the mean of its divisors is an integer number (9588495).

Almost surely, 2^105992093 is an apocalyptic number.

It is an amenable number.

105992093 is a deficient number, since it is larger than the sum of its proper divisors (9069847).

105992093 is an equidigital number, since it uses as much as digits as its factorization.

105992093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 38.

The square root of 105992093 is about 10295.2461359600. The cubic root of 105992093 is about 473.2505812596.

The spelling of 105992093 in words is "one hundred five million, nine hundred ninety-two thousand, ninety-three".