106200200 has 48 divisors (see below), whose sum is σ = 257662080. Its totient is φ = 40631360.

The previous prime is 106200169. The next prime is 106200221. The reversal of 106200200 is 2002601.

It is a super-3 number, since 3×106200200³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6944 + ... + 16143.

It is an arithmetic number, because the mean of its divisors is an integer number (5367960).

Almost surely, 2^106200200 is an apocalyptic number.

106200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106200200 is an abundant number, since it is smaller than the sum of its proper divisors (151461880).

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

106200200 is a wasteful number, since it uses less digits than its factorization.

106200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23126 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 106200200 is about 10305.3481260945. The cubic root of 106200200 is about 473.5601086630.

Adding to 106200200 its reverse (2002601), we get a palindrome (108202801).

The spelling of 106200200 in words is "one hundred six million, two hundred thousand, two hundred".