105830253 has 16 divisors (see below), whose sum is σ = 166008960. Its totient is φ = 66403008.

The previous prime is 105830239. The next prime is 105830269. The reversal of 105830253 is 352038501.

It is not a de Polignac number, because 105830253 - 2⁶ = 105830189 is a prime.

It is a super-2 number, since 2×105830253² = 22400084900088018, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105830203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114825 + ... + 115742.

It is an arithmetic number, because the mean of its divisors is an integer number (10375560).

Almost surely, 2^105830253 is an apocalyptic number.

It is an amenable number.

105830253 is a deficient number, since it is larger than the sum of its proper divisors (60178707).

105830253 is a wasteful number, since it uses less digits than its factorization.

105830253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230593 (or 230587 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105830253 is about 10287.3831949627. The cubic root of 105830253 is about 473.0095887875.

Adding to 105830253 its reverse (352038501), we get a palindrome (457868754).

The spelling of 105830253 in words is "one hundred five million, eight hundred thirty thousand, two hundred fifty-three".