105838353 has 16 divisors (see below), whose sum is σ = 157931200. Its totient is φ = 70048800.

The previous prime is 105838333. The next prime is 105838357. The reversal of 105838353 is 353838501.

It is not a de Polignac number, because 105838353 - 2⁶ = 105838289 is a prime.

It is a super-2 number, since 2×105838353² = 22403513931505218, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105838357) 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, 10348 + ... + 17853.

It is an arithmetic number, because the mean of its divisors is an integer number (9870700).

Almost surely, 2^105838353 is an apocalyptic number.

It is an amenable number.

105838353 is a deficient number, since it is larger than the sum of its proper divisors (52092847).

105838353 is a wasteful number, since it uses less digits than its factorization.

105838353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28349 (or 28343 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 105838353 is about 10287.7768735524. The cubic root of 105838353 is about 473.0216561621.

The spelling of 105838353 in words is "one hundred five million, eight hundred thirty-eight thousand, three hundred fifty-three".