105023311 has 6 divisors (see below), whose sum is σ = 106445040. Its totient is φ = 103603968.

The previous prime is 105023291. The next prime is 105023323. The reversal of 105023311 is 113320501.

It is not a de Polignac number, because 105023311 - 2⁷ = 105023183 is a prime.

It is a super-2 number, since 2×105023311² = 22059791706805442, 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 (105023341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 90511 + ... + 91663.

It is an arithmetic number, because the mean of its divisors is an integer number (17740840).

Almost surely, 2^105023311 is an apocalyptic number.

105023311 is a deficient number, since it is larger than the sum of its proper divisors (1421729).

105023311 is an frugal number, since it uses more digits than its factorization.

105023311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105023311 is about 10248.0881631649. The cubic root of 105023311 is about 471.8043078815.

Adding to 105023311 its reverse (113320501), we get a palindrome (218343812).

The spelling of 105023311 in words is "one hundred five million, twenty-three thousand, three hundred eleven".