105340311 has 32 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 68169024.

The previous prime is 105340303. The next prime is 105340321. The reversal of 105340311 is 113043501.

105340311 is a `hidden beast` number, since 10 + 5 + 340 + 311 = 666.

It is not a de Polignac number, because 105340311 - 2³ = 105340303 is a prime.

It is a super-2 number, since 2×105340311² = 22193162243153442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105340321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141406 + ... + 142148.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2^105340311 is an apocalyptic number.

105340311 is a deficient number, since it is larger than the sum of its proper divisors (55363689).

105340311 is an equidigital number, since it uses as much as digits as its factorization.

105340311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

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

The square root of 105340311 is about 10263.5428093812. The cubic root of 105340311 is about 472.2785255824.

Adding to 105340311 its reverse (113043501), we get a palindrome (218383812).

The spelling of 105340311 in words is "one hundred five million, three hundred forty thousand, three hundred eleven".