105005211 has 8 divisors (see below), whose sum is σ = 140899344. Its totient is φ = 69557280.

The previous prime is 105005207. The next prime is 105005213. The reversal of 105005211 is 112500501.

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

It is not a de Polignac number, because 105005211 - 2² = 105005207 is a prime.

It is a super-2 number, since 2×105005211² = 22052188674309042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111000 + ... + 111941.

It is an arithmetic number, because the mean of its divisors is an integer number (17612418).

Almost surely, 2^105005211 is an apocalyptic number.

105005211 is a deficient number, since it is larger than the sum of its proper divisors (35894133).

105005211 is a wasteful number, since it uses less digits than its factorization.

105005211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223101.

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 105005211 is about 10247.2050335689. The cubic root of 105005211 is about 471.7772023163. Note that the first 3 decimals are identical.

Adding to 105005211 its reverse (112500501), we get a palindrome (217505712).

The spelling of 105005211 in words is "one hundred five million, five thousand, two hundred eleven".