106204224 has 112 divisors (see below), whose sum is σ = 338124800. Its totient is φ = 28740096.

The previous prime is 106204211. The next prime is 106204229. The reversal of 106204224 is 422402601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106204224² = 22558674390884352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 106204224.

It is not an unprimeable number, because it can be changed into a prime (106204229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23457 + ... + 27615.

Almost surely, 2^106204224 is an apocalyptic number.

106204224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169062400).

106204224 is an abundant number, since it is smaller than the sum of its proper divisors (231920576).

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

106204224 is a wasteful number, since it uses less digits than its factorization.

106204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4200 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 106204224 is about 10305.5433626762. The cubic root of 106204224 is about 473.5660897622.

Adding to 106204224 its reverse (422402601), we get a palindrome (528606825).

The spelling of 106204224 in words is "one hundred six million, two hundred four thousand, two hundred twenty-four".