105830401 has 2 divisors, whose sum is σ = 105830402. Its totient is φ = 105830400.

The previous prime is 105830381. The next prime is 105830407. The reversal of 105830401 is 104038501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101203600 + 4626801 = 10060^2 + 2151^2 .

It is a cyclic number.

It is not a de Polignac number, because 105830401 - 2⁵ = 105830369 is a prime.

It is a super-2 number, since 2×105830401² = 22400147551641602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105830407) 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 as a sum of consecutive naturals, namely, 52915200 + 52915201.

It is an arithmetic number, because the mean of its divisors is an integer number (52915201).

Almost surely, 2^105830401 is an apocalyptic number.

It is an amenable number.

105830401 is a deficient number, since it is larger than the sum of its proper divisors (1).

105830401 is an equidigital number, since it uses as much as digits as its factorization.

105830401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 105830401 is about 10287.3903882374. The cubic root of 105830401 is about 473.0098092833.

Adding to 105830401 its reverse (104038501), we get a palindrome (209868902).

The spelling of 105830401 in words is "one hundred five million, eight hundred thirty thousand, four hundred one".