105220311 has 8 divisors (see below), whose sum is σ = 160335744. Its totient is φ = 60125880.

The previous prime is 105220277. The next prime is 105220321. The reversal of 105220311 is 113022501.

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

It is not a de Polignac number, because 105220311 - 2¹⁰ = 105219287 is a prime.

It is a super-2 number, since 2×105220311² = 22142627693873442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105220321) 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 7 ways as a sum of consecutive naturals, for example, 2505225 + ... + 2505266.

It is an arithmetic number, because the mean of its divisors is an integer number (20041968).

Almost surely, 2^105220311 is an apocalyptic number.

105220311 is a deficient number, since it is larger than the sum of its proper divisors (55115433).

105220311 is an equidigital number, since it uses as much as digits as its factorization.

105220311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010501.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105220311 is about 10257.6952089639. The cubic root of 105220311 is about 472.0991230464.

Adding to 105220311 its reverse (113022501), we get a palindrome (218242812).

The spelling of 105220311 in words is "one hundred five million, two hundred twenty thousand, three hundred eleven".