106041120224 has 96 divisors (see below), whose sum is σ = 235062342144. Its totient is φ = 46722424320.

The previous prime is 106041120203. The next prime is 106041120253. The reversal of 106041120224 is 422021140601.

It is a super-2 number, since 2×106041120224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 106041120224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4993469 + ... + 5014659.

It is an arithmetic number, because the mean of its divisors is an integer number (2448566064).

Almost surely, 2^106041120224 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 106041120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117531171072).

106041120224 is an abundant number, since it is smaller than the sum of its proper divisors (129021221920).

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

106041120224 is a wasteful number, since it uses less digits than its factorization.

106041120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21760 (or 21752 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 106041120224 its reverse (422021140601), we get a palindrome (528062260825).

The spelling of 106041120224 in words is "one hundred six billion, forty-one million, one hundred twenty thousand, two hundred twenty-four".