106336224 has 144 divisors (see below), whose sum is σ = 329395248. Its totient is φ = 32403456.

The previous prime is 106336201. The next prime is 106336229. The reversal of 106336224 is 422633601.

106336224 is a `hidden beast` number, since 1 + 0 + 6 + 33 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106336224² = 22614785069156352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106336229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180859 + ... + 181445.

It is an arithmetic number, because the mean of its divisors is an integer number (2287467).

Almost surely, 2^106336224 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 106336224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697624).

106336224 is an abundant number, since it is smaller than the sum of its proper divisors (223059024).

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

106336224 is a wasteful number, since it uses less digits than its factorization.

106336224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106336224 is about 10311.9456941937. The cubic root of 106336224 is about 473.7622051376.

Adding to 106336224 its reverse (422633601), we get a palindrome (528969825).

The spelling of 106336224 in words is "one hundred six million, three hundred thirty-six thousand, two hundred twenty-four".