105985093 has 8 divisors (see below), whose sum is σ = 107077880. Its totient is φ = 104898240.

The previous prime is 105985069. The next prime is 105985109. The reversal of 105985093 is 390589501.

It can be written as a sum of positive squares in 4 ways, for example, as 7935489 + 98049604 = 2817^2 + 9902^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105985093 is a prime.

It is a super-2 number, since 2×105985093² = 22465679876437298, 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 (105985003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40171 + ... + 42727.

It is an arithmetic number, because the mean of its divisors is an integer number (13384735).

Almost surely, 2^105985093 is an apocalyptic number.

It is an amenable number.

105985093 is a deficient number, since it is larger than the sum of its proper divisors (1092787).

105985093 is a wasteful number, since it uses less digits than its factorization.

105985093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967.

The product of its (nonzero) digits is 48600, while the sum is 40.

The square root of 105985093 is about 10294.9061676151. The cubic root of 105985093 is about 473.2401627875.

The spelling of 105985093 in words is "one hundred five million, nine hundred eighty-five thousand, ninety-three".