105221232 has 60 divisors (see below), whose sum is σ = 297268920. Its totient is φ = 34740864.

The previous prime is 105221213. The next prime is 105221239. The reversal of 105221232 is 232122501.

It is a super-2 number, since 2×105221232² = 22143015327195648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105221239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11994 + ... + 18822.

It is an arithmetic number, because the mean of its divisors is an integer number (4954482).

Almost surely, 2^105221232 is an apocalyptic number.

105221232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148634460).

105221232 is an abundant number, since it is smaller than the sum of its proper divisors (192047688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105221232 is a wasteful number, since it uses less digits than its factorization.

105221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105221232 is about 10257.7401019913. The cubic root of 105221232 is about 472.1005004801.

Adding to 105221232 its reverse (232122501), we get a palindrome (337343733).

The spelling of 105221232 in words is "one hundred five million, two hundred twenty-one thousand, two hundred thirty-two".