106331232 has 48 divisors (see below), whose sum is σ = 318995712. Its totient is φ = 30380160.

The previous prime is 106331221. The next prime is 106331261. The reversal of 106331232 is 232133601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106331232² = 22612661797275648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 106331199 and 106331208.

It is a congruent number.

It is an unprimeable number.

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, 78444 + ... + 79787.

It is an arithmetic number, because the mean of its divisors is an integer number (6645744).

Almost surely, 2^106331232 is an apocalyptic number.

106331232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106331232 is an abundant number, since it is smaller than the sum of its proper divisors (212664480).

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

106331232 is a wasteful number, since it uses less digits than its factorization.

106331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158251 (or 158243 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 106331232 is about 10311.7036419789. The cubic root of 106331232 is about 473.7547913644.

Adding to 106331232 its reverse (232133601), we get a palindrome (338464833).

The spelling of 106331232 in words is "one hundred six million, three hundred thirty-one thousand, two hundred thirty-two".