105221 has 4 divisors (see below), whose sum is σ = 107712. Its totient is φ = 102732.

The previous prime is 105211. The next prime is 105227. The reversal of 105221 is 122501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105221 is a prime.

It is a super-2 number, since 2×105221² = 22142917682, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105221.

It is not an unprimeable number, because it can be changed into a prime (105227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1181 + ... + 1266.

It is an arithmetic number, because the mean of its divisors is an integer number (26928).

2¹⁰⁵²²¹ is an apocalyptic number.

It is an amenable number.

105221 is a deficient number, since it is larger than the sum of its proper divisors (2491).

105221 is an equidigital number, since it uses as much as digits as its factorization.

105221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 105221 is about 324.3778660760. The cubic root of 105221 is about 47.2100153505.

Adding to 105221 its reverse (122501), we get a palindrome (227722).

The spelling of 105221 in words is "one hundred five thousand, two hundred twenty-one".