106686200 has 48 divisors (see below), whose sum is σ = 248775000. Its totient is φ = 42549120.

The previous prime is 106686187. The next prime is 106686227. The reversal of 106686200 is 2686601.

It is a super-2 number, since 2×106686200² = 22763890540880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99266 + ... + 100334.

Almost surely, 2^106686200 is an apocalyptic number.

106686200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106686200 is an abundant number, since it is smaller than the sum of its proper divisors (142088800).

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

106686200 is a wasteful number, since it uses less digits than its factorization.

106686200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 106686200 is about 10328.9012000309. The cubic root of 106686200 is about 474.2813879911.

The spelling of 106686200 in words is "one hundred six million, six hundred eighty-six thousand, two hundred".