106224040 has 64 divisors (see below), whose sum is σ = 264393360. Its totient is φ = 38154240.

The previous prime is 106224029. The next prime is 106224047. The reversal of 106224040 is 40422601.

It can be written as a sum of positive squares in 8 ways, for example, as 37234404 + 68989636 = 6102^2 + 8306^2 .

It is a super-2 number, since 2×106224040² = 22567093347843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106223999 and 106224017.

It is not an unprimeable number, because it can be changed into a prime (106224047) 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 15 ways as a sum of consecutive naturals, for example, 16480 + ... + 22000.

Almost surely, 2^106224040 is an apocalyptic number.

106224040 is a gapful number since it is divisible by the number (10) 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 106224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132196680).

106224040 is an abundant number, since it is smaller than the sum of its proper divisors (158169320).

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

106224040 is a wasteful number, since it uses less digits than its factorization.

106224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 106224040 is about 10306.5047421519. The cubic root of 106224040 is about 473.5955412024.

Adding to 106224040 its reverse (40422601), we get a palindrome (146646641).

The spelling of 106224040 in words is "one hundred six million, two hundred twenty-four thousand, forty".