100331424 has 72 divisors (see below), whose sum is σ = 286558272. Its totient is φ = 33298560.

The previous prime is 100331423. The next prime is 100331437. The reversal of 100331424 is 424133001.

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 a junction number, because it is equal to n+sod(n) for n = 100331397 and 100331406.

It is not an unprimeable number, because it can be changed into a prime (100331423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80889 + ... + 82119.

It is an arithmetic number, because the mean of its divisors is an integer number (3979976).

Almost surely, 2^100331424 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 100331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143279136).

100331424 is an abundant number, since it is smaller than the sum of its proper divisors (186226848).

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

100331424 is a wasteful number, since it uses less digits than its factorization.

100331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100331424 is about 10016.5574924722. The cubic root of 100331424 is about 464.6710958915.

Adding to 100331424 its reverse (424133001), we get a palindrome (524464425).

The spelling of 100331424 in words is "one hundred million, three hundred thirty-one thousand, four hundred twenty-four".