106846200 has 72 divisors (see below), whose sum is σ = 358831200. Its totient is φ = 28491840.

The previous prime is 106846199. The next prime is 106846211. The reversal of 106846200 is 2648601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106846200² = 22832220908880000, 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 17 ways as a sum of consecutive naturals, for example, 27880 + ... + 31479.

Almost surely, 2^106846200 is an apocalyptic number.

106846200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106846200 is an abundant number, since it is smaller than the sum of its proper divisors (251985000).

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

106846200 is a wasteful number, since it uses less digits than its factorization.

106846200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59381 (or 59369 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106846200 is about 10336.6435558164. The cubic root of 106846200 is about 474.5183668384.

The spelling of 106846200 in words is "one hundred six million, eight hundred forty-six thousand, two hundred".