105322212 has 36 divisors (see below), whose sum is σ = 268984716. Its totient is φ = 34744320.

The previous prime is 105322207. The next prime is 105322219. The reversal of 105322212 is 212223501.

It can be written as a sum of positive squares in 2 ways, for example, as 66683556 + 38638656 = 8166^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105322212² = 22185536681145888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105322219) 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 11 ways as a sum of consecutive naturals, for example, 11589 + ... + 18572.

Almost surely, 2^105322212 is an apocalyptic number.

105322212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105322212 is an abundant number, since it is smaller than the sum of its proper divisors (163662504).

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

105322212 is a wasteful number, since it uses less digits than its factorization.

105322212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30268 (or 30263 counting only the distinct ones).

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

The square root of 105322212 is about 10262.6610584195. The cubic root of 105322212 is about 472.2514759230.

Adding to 105322212 its reverse (212223501), we get a palindrome (317545713).

The spelling of 105322212 in words is "one hundred five million, three hundred twenty-two thousand, two hundred twelve".