103224324132 has 120 divisors (see below), whose sum is σ = 272646725120. Its totient is φ = 34052114880.

The previous prime is 103224324131. The next prime is 103224324157. The reversal of 103224324132 is 231423422301.

103224324132 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 243 + 2 + 413 + 2 = 666.

It is a super-2 number, since 2×103224324132² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103224324096 and 103224324105.

It is not an unprimeable number, because it can be changed into a prime (103224324131) 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 39 ways as a sum of consecutive naturals, for example, 51948843 + ... + 51950829.

Almost surely, 2^103224324132 is an apocalyptic number.

103224324132 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 103224324132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136323362560).

103224324132 is an abundant number, since it is smaller than the sum of its proper divisors (169422400988).

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

103224324132 is a wasteful number, since it uses less digits than its factorization.

103224324132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 103224324132 its reverse (231423422301), we get a palindrome (334647746433).

The spelling of 103224324132 in words is "one hundred three billion, two hundred twenty-four million, three hundred twenty-four thousand, one hundred thirty-two".