103331232 has 72 divisors (see below), whose sum is σ = 301821156. Its totient is φ = 33509376.

The previous prime is 103331231. The next prime is 103331233. The reversal of 103331232 is 232133301.

103331232 is a `hidden beast` number, since 103 + 331 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (103331231) and next prime (103331233).

It can be written as a sum of positive squares in 2 ways, for example, as 103306896 + 24336 = 10164^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (103331231) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5808 + ... + 15504.

Almost surely, 2^103331232 is an apocalyptic number.

103331232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150910578).

103331232 is an abundant number, since it is smaller than the sum of its proper divisors (198489924).

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

103331232 is a wasteful number, since it uses less digits than its factorization.

103331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9750 (or 9739 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 103331232 is about 10165.1970959741. The cubic root of 103331232 is about 469.2567579815.

Adding to 103331232 its reverse (232133301), we get a palindrome (335464533).

The spelling of 103331232 in words is "one hundred three million, three hundred thirty-one thousand, two hundred thirty-two".