106812224 has 56 divisors (see below), whose sum is σ = 236280960. Its totient is φ = 47609856.

The previous prime is 106812203. The next prime is 106812227. The reversal of 106812224 is 422218601.

It is a happy number.

It is a Cunningham number, because it is equal to 10335²-1.

It is a super-2 number, since 2×106812224² = 22817702391652352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106812193 and 106812202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106812227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18089 + ... + 23255.

Almost surely, 2^106812224 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 106812224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118140480).

106812224 is an abundant number, since it is smaller than the sum of its proper divisors (129468736).

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

106812224 is a wasteful number, since it uses less digits than its factorization.

106812224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5215 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 106812224 is about 10334.9999516207. Note that the first 4 decimals coincide. The cubic root of 106812224 is about 474.4680641752.

The spelling of 106812224 in words is "one hundred six million, eight hundred twelve thousand, two hundred twenty-four".