105730113 has 8 divisors (see below), whose sum is σ = 141839008. Its totient is φ = 70053984.

The previous prime is 105730111. The next prime is 105730129. The reversal of 105730113 is 311037501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105730113 - 2¹ = 105730111 is a prime.

It is a super-2 number, since 2×105730113² = 22357713589985538, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105730113.

It is not an unprimeable number, because it can be changed into a prime (105730111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107620 + ... + 108597.

It is an arithmetic number, because the mean of its divisors is an integer number (17729876).

Almost surely, 2^105730113 is an apocalyptic number.

It is an amenable number.

105730113 is a deficient number, since it is larger than the sum of its proper divisors (36108895).

105730113 is a wasteful number, since it uses less digits than its factorization.

105730113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216383.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 105730113 is about 10282.5149161088. The cubic root of 105730113 is about 472.8603493944.

Adding to 105730113 its reverse (311037501), we get a palindrome (416767614).

The spelling of 105730113 in words is "one hundred five million, seven hundred thirty thousand, one hundred thirteen".