105993909 has 18 divisors (see below), whose sum is σ = 178099350. Its totient is φ = 60567696.

The previous prime is 105993893. The next prime is 105993911. The reversal of 105993909 is 909399501.

It can be written as a sum of positive squares in only one way, i.e., 86545809 + 19448100 = 9303^2 + 4410^2 .

It is not a de Polignac number, because 105993909 - 2⁴ = 105993893 is a prime.

It is a super-2 number, since 2×105993909² = 22469417490200562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105993109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 119734 + ... + 120615.

Almost surely, 2^105993909 is an apocalyptic number.

It is an amenable number.

105993909 is a deficient number, since it is larger than the sum of its proper divisors (72105441).

105993909 is a wasteful number, since it uses less digits than its factorization.

105993909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240369 (or 240359 counting only the distinct ones).

The product of its (nonzero) digits is 98415, while the sum is 45.

The square root of 105993909 is about 10295.3343316281. The cubic root of 105993909 is about 473.2532840340.

The spelling of 105993909 in words is "one hundred five million, nine hundred ninety-three thousand, nine hundred nine".