106221200 has 60 divisors (see below), whose sum is σ = 264025140. Its totient is φ = 41018880.

The previous prime is 106221187. The next prime is 106221209. The reversal of 106221200 is 2122601.

It can be written as a sum of positive squares in 6 ways, for example, as 11587216 + 94633984 = 3404^2 + 9728^2 .

It is a super-3 number, since 3×106221200³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106221209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7022 + ... + 16178.

It is an arithmetic number, because the mean of its divisors is an integer number (4400419).

Almost surely, 2^106221200 is an apocalyptic number.

106221200 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 106221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132012570).

106221200 is an abundant number, since it is smaller than the sum of its proper divisors (157803940).

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

106221200 is a wasteful number, since it uses less digits than its factorization.

106221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9204 (or 9193 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 106221200 is about 10306.3669641635. The cubic root of 106221200 is about 473.5913204901.

Adding to 106221200 its reverse (2122601), we get a palindrome (108343801).

The spelling of 106221200 in words is "one hundred six million, two hundred twenty-one thousand, two hundred".