106863200 has 108 divisors (see below), whose sum is σ = 271506060. Its totient is φ = 41068800.

The previous prime is 106863187. The next prime is 106863203. The reversal of 106863200 is 2368601.

It is a super-2 number, since 2×106863200² = 22839487028480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106863200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106863203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 768731 + ... + 768869.

It is an arithmetic number, because the mean of its divisors is an integer number (2513945).

Almost surely, 2^106863200 is an apocalyptic number.

106863200 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 106863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135753030).

106863200 is an abundant number, since it is smaller than the sum of its proper divisors (164642860).

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

106863200 is a wasteful number, since it uses less digits than its factorization.

106863200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 106863200 is about 10337.4658403305. The cubic root of 106863200 is about 474.5435319338.

The spelling of 106863200 in words is "one hundred six million, eight hundred sixty-three thousand, two hundred".