106221220 has 72 divisors (see below), whose sum is σ = 261080064. Its totient is φ = 36195264.

The previous prime is 106221209. The next prime is 106221259. The reversal of 106221220 is 22122601.

It is a super-2 number, since 2×106221220² = 22565895156576800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106221194 and 106221203.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 277149 + ... + 277531.

It is an arithmetic number, because the mean of its divisors is an integer number (3626112).

Almost surely, 2^106221220 is an apocalyptic number.

106221220 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 106221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130540032).

106221220 is an abundant number, since it is smaller than the sum of its proper divisors (154858844).

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

106221220 is a wasteful number, since it uses less digits than its factorization.

106221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 106221220 is about 10306.3679344374. The cubic root of 106221220 is about 473.5913502137.

Adding to 106221220 its reverse (22122601), we get a palindrome (128343821).

The spelling of 106221220 in words is "one hundred six million, two hundred twenty-one thousand, two hundred twenty".