105240311 has 8 divisors (see below), whose sum is σ = 116690448. Its totient is φ = 94104000.

The previous prime is 105240301. The next prime is 105240313. The reversal of 105240311 is 113042501.

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

It is a cyclic number.

It is not a de Polignac number, because 105240311 - 2¹⁰ = 105239287 is a prime.

It is a super-2 number, since 2×105240311² = 22151046118753442, 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 105240311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105240313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77750 + ... + 79091.

It is an arithmetic number, because the mean of its divisors is an integer number (14586306).

Almost surely, 2^105240311 is an apocalyptic number.

105240311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105240311 is a deficient number, since it is larger than the sum of its proper divisors (11450137).

105240311 is a wasteful number, since it uses less digits than its factorization.

105240311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156913.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105240311 is about 10258.6700405072. The cubic root of 105240311 is about 472.1290329380.

Adding to 105240311 its reverse (113042501), we get a palindrome (218282812).

The spelling of 105240311 in words is "one hundred five million, two hundred forty thousand, three hundred eleven".