100532224 has 72 divisors (see below), whose sum is σ = 220200120. Its totient is φ = 45613056.

The previous prime is 100532207. The next prime is 100532233. The reversal of 100532224 is 422235001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1703907 + ... + 1703965.

It is an arithmetic number, because the mean of its divisors is an integer number (3058335).

Almost surely, 2^100532224 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 100532224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110100060).

100532224 is an abundant number, since it is smaller than the sum of its proper divisors (119667896).

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

100532224 is an frugal number, since it uses more digits than its factorization.

100532224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 100532224 is about 10026.5758861139. The cubic root of 100532224 is about 464.9808817823.

Adding to 100532224 its reverse (422235001), we get a palindrome (522767225).

The spelling of 100532224 in words is "one hundred million, five hundred thirty-two thousand, two hundred twenty-four".