106232 has 24 divisors (see below), whose sum is σ = 232560. Its totient is φ = 45360.

The previous prime is 106219. The next prime is 106243. The reversal of 106232 is 232601.

It is a super-2 number, since 2×106232² = 22570475648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 106232.

It is an unprimeable number.

106232 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 257 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (9690).

2¹⁰⁶²³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116280).

106232 is an abundant number, since it is smaller than the sum of its proper divisors (126328).

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

106232 is a wasteful number, since it uses less digits than its factorization.

106232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 106232 is about 325.9325083510. The cubic root of 106232 is about 47.3607370685.

Adding to 106232 its reverse (232601), we get a palindrome (338833).

The spelling of 106232 in words is "one hundred six thousand, two hundred thirty-two".