105311311 has 12 divisors (see below), whose sum is σ = 127854448. Its totient is φ = 84955392.

The previous prime is 105311303. The next prime is 105311351. The reversal of 105311311 is 113113501.

It is not a de Polignac number, because 105311311 - 2³ = 105311303 is a prime.

It is a super-2 number, since 2×105311311² = 22180944449077442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105311351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24006 + ... + 28051.

Almost surely, 2^105311311 is an apocalyptic number.

105311311 is a deficient number, since it is larger than the sum of its proper divisors (22543137).

105311311 is an equidigital number, since it uses as much as digits as its factorization.

105311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52098 (or 52081 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 105311311 is about 10262.1299446070. The cubic root of 105311311 is about 472.2351824591.

Adding to 105311311 its reverse (113113501), we get a palindrome (218424812).

It can be divided in two parts, 105 and 311311, that multiplied together give a triangular number (32687655 = T₈₀₈₅).

The spelling of 105311311 in words is "one hundred five million, three hundred eleven thousand, three hundred eleven".