105430311 has 72 divisors (see below), whose sum is σ = 192707424. Its totient is φ = 55319040.

The previous prime is 105430307. The next prime is 105430313. The reversal of 105430311 is 113034501.

It is not a de Polignac number, because 105430311 - 2² = 105430307 is a prime.

It is a super-2 number, since 2×105430311² = 22231100955113442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105430313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2571451 + ... + 2571491.

It is an arithmetic number, because the mean of its divisors is an integer number (2676492).

Almost surely, 2^105430311 is an apocalyptic number.

105430311 is a deficient number, since it is larger than the sum of its proper divisors (87277113).

105430311 is an frugal number, since it uses more digits than its factorization.

105430311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105430311 is about 10267.9263242390. The cubic root of 105430311 is about 472.4129880928.

Adding to 105430311 its reverse (113034501), we get a palindrome (218464812).

The spelling of 105430311 in words is "one hundred five million, four hundred thirty thousand, three hundred eleven".