106411220 has 48 divisors (see below), whose sum is σ = 234662400. Its totient is φ = 40479360.

The previous prime is 106411219. The next prime is 106411241. The reversal of 106411220 is 22114601.

It is a super-2 number, since 2×106411220² = 22646695483776800, which contains 22 as substring.

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, 35126 + ... + 38034.

It is an arithmetic number, because the mean of its divisors is an integer number (4888800).

Almost surely, 2^106411220 is an apocalyptic number.

106411220 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 106411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117331200).

106411220 is an abundant number, since it is smaller than the sum of its proper divisors (128251180).

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

106411220 is a wasteful number, since it uses less digits than its factorization.

106411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 106411220 is about 10315.5814184175. The cubic root of 106411220 is about 473.8735560941.

Adding to 106411220 its reverse (22114601), we get a palindrome (128525821).

The spelling of 106411220 in words is "one hundred six million, four hundred eleven thousand, two hundred twenty".