106320200 has 144 divisors (see below), whose sum is σ = 303217200. Its totient is φ = 34473600.

The previous prime is 106320199. The next prime is 106320233. The reversal of 106320200 is 2023601.

It is a super-2 number, since 2×106320200² = 22607969856080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 185915 + ... + 186485.

It is an arithmetic number, because the mean of its divisors is an integer number (2105675).

Almost surely, 2^106320200 is an apocalyptic number.

106320200 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 106320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151608600).

106320200 is an abundant number, since it is smaller than the sum of its proper divisors (196897000).

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

106320200 is a wasteful number, since it uses less digits than its factorization.

106320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 106320200 is about 10311.1687019464. The cubic root of 106320200 is about 473.7384065778.

Adding to 106320200 its reverse (2023601), we get a palindrome (108343801).

The spelling of 106320200 in words is "one hundred six million, three hundred twenty thousand, two hundred".