105216232 has 32 divisors (see below), whose sum is σ = 222163200. Its totient is φ = 46281600.

The previous prime is 105216193. The next prime is 105216233. The reversal of 105216232 is 232612501.

It is a super-2 number, since 2×105216232² = 22140910952555648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (105216233) 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 7 ways as a sum of consecutive naturals, for example, 16557 + ... + 22012.

It is an arithmetic number, because the mean of its divisors is an integer number (6942600).

Almost surely, 2^105216232 is an apocalyptic number.

It is an amenable number.

105216232 is an abundant number, since it is smaller than the sum of its proper divisors (116946968).

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

105216232 is a wasteful number, since it uses less digits than its factorization.

105216232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38617 (or 38613 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105216232 is about 10257.4963806964. The cubic root of 105216232 is about 472.0930224587.

Adding to 105216232 its reverse (232612501), we get a palindrome (337828733).

The spelling of 105216232 in words is "one hundred five million, two hundred sixteen thousand, two hundred thirty-two".