105211241 has 6 divisors (see below), whose sum is σ = 108715626. Its totient is φ = 101816400.

The previous prime is 105211237. The next prime is 105211243. The reversal of 105211241 is 142112501.

It can be written as a sum of positive squares in only one way, i.e., 72675625 + 32535616 = 8525^2 + 5704^2 .

It is not a de Polignac number, because 105211241 - 2² = 105211237 is a prime.

It is a super-2 number, since 2×105211241² = 22138810465520162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105211243) 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, 53780 + ... + 55701.

It is an arithmetic number, because the mean of its divisors is an integer number (18119271).

Almost surely, 2^105211241 is an apocalyptic number.

It is an amenable number.

105211241 is a deficient number, since it is larger than the sum of its proper divisors (3504385).

105211241 is an equidigital number, since it uses as much as digits as its factorization.

105211241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109543 (or 109512 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 105211241 is about 10257.2530923245. The cubic root of 105211241 is about 472.0855576614.

Adding to 105211241 its reverse (142112501), we get a palindrome (247323742).

The spelling of 105211241 in words is "one hundred five million, two hundred eleven thousand, two hundred forty-one".