105855200 has 144 divisors (see below), whose sum is σ = 294731136. Its totient is φ = 36748800.

The previous prime is 105855179. The next prime is 105855221. The reversal of 105855200 is 2558501.

It is an interprime number because it is at equal distance from previous prime (105855179) and next prime (105855221).

It is a super-2 number, since 2×105855200² = 22410646734080000, 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 105855200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 202139 + ... + 202661.

It is an arithmetic number, because the mean of its divisors is an integer number (2046744).

Almost surely, 2^105855200 is an apocalyptic number.

105855200 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 105855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147365568).

105855200 is an abundant number, since it is smaller than the sum of its proper divisors (188875936).

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

105855200 is a wasteful number, since it uses less digits than its factorization.

105855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 105855200 is about 10288.5956281701. The cubic root of 105855200 is about 473.0467528397.

The spelling of 105855200 in words is "one hundred five million, eight hundred fifty-five thousand, two hundred".