105223332 has 24 divisors (see below), whose sum is σ = 246367296. Its totient is φ = 34953568.

The previous prime is 105223297. The next prime is 105223351. The reversal of 105223332 is 233322501.

It is a super-2 number, since 2×105223332² = 22143899194364448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105223299 and 105223308.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11448 + ... + 18479.

It is an arithmetic number, because the mean of its divisors is an integer number (10265304).

Almost surely, 2^105223332 is an apocalyptic number.

105223332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105223332 is an abundant number, since it is smaller than the sum of its proper divisors (141143964).

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

105223332 is a wasteful number, since it uses less digits than its factorization.

105223332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30227 (or 30225 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 105223332 is about 10257.8424632083. The cubic root of 105223332 is about 472.1036411785.

Adding to 105223332 its reverse (233322501), we get a palindrome (338545833).

The spelling of 105223332 in words is "one hundred five million, two hundred twenty-three thousand, three hundred thirty-two".