105830256 has 80 divisors (see below), whose sum is σ = 316051200. Its totient is φ = 29889024.

The previous prime is 105830239. The next prime is 105830269. The reversal of 105830256 is 652038501.

It is a super-2 number, since 2×105830256² = 22400086170051072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28135 + ... + 31673.

It is an arithmetic number, because the mean of its divisors is an integer number (3950640).

Almost surely, 2^105830256 is an apocalyptic number.

105830256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105830256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158025600).

105830256 is an abundant number, since it is smaller than the sum of its proper divisors (210220944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105830256 is a wasteful number, since it uses less digits than its factorization.

105830256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 105830256 is about 10287.3833407723. The cubic root of 105830256 is about 473.0095932570.

Adding to 105830256 its reverse (652038501), we get a palindrome (757868757).

The spelling of 105830256 in words is "one hundred five million, eight hundred thirty thousand, two hundred fifty-six".