106436224 has 32 divisors (see below), whose sum is σ = 214166340. Its totient is φ = 52684800.

The previous prime is 106436179. The next prime is 106436251. The reversal of 106436224 is 422634601.

It can be written as a sum of positive squares in 2 ways, for example, as 104693824 + 1742400 = 10232^2 + 1320^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106436224² = 22657339558756352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106436192 and 106436201.

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, 8812 + ... + 17044.

Almost surely, 2^106436224 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 106436224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107083170).

106436224 is an abundant number, since it is smaller than the sum of its proper divisors (107730116).

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

106436224 is an equidigital number, since it uses as much as digits as its factorization.

106436224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348 (or 8336 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 106436224 is about 10316.7933002460. The cubic root of 106436224 is about 473.9106693686.

The spelling of 106436224 in words is "one hundred six million, four hundred thirty-six thousand, two hundred twenty-four".