100342224 has 90 divisors (see below), whose sum is σ = 289180710. Its totient is φ = 32479488.

The previous prime is 100342217. The next prime is 100342259. The reversal of 100342224 is 422243001.

100342224 is a `hidden beast` number, since 100 + 342 + 224 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 72590400 + 27751824 = 8520^2 + 5268^2 .

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 = 100342197 and 100342206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 196882 + ... + 197390.

It is an arithmetic number, because the mean of its divisors is an integer number (3213119).

Almost surely, 2^100342224 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 100342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144590355).

100342224 is an abundant number, since it is smaller than the sum of its proper divisors (188838486).

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

100342224 is a wasteful number, since it uses less digits than its factorization.

100342224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 100342224 is about 10017.0965853385. The cubic root of 100342224 is about 464.6877681947.

Adding to 100342224 its reverse (422243001), we get a palindrome (522585225).

The spelling of 100342224 in words is "one hundred million, three hundred forty-two thousand, two hundred twenty-four".