105327200 has 72 divisors (see below), whose sum is σ = 280528920. Its totient is φ = 38297600.

The previous prime is 105327199. The next prime is 105327251. The reversal of 105327200 is 2723501.

It is a super-2 number, since 2×105327200² = 22187638119680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2816 + ... + 14784.

It is an arithmetic number, because the mean of its divisors is an integer number (3896235).

Almost surely, 2^105327200 is an apocalyptic number.

105327200 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 105327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140264460).

105327200 is an abundant number, since it is smaller than the sum of its proper divisors (175201720).

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

105327200 is a wasteful number, since it uses less digits than its factorization.

105327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12000 (or 11987 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 105327200 is about 10262.9040724349. The cubic root of 105327200 is about 472.2589309923.

The spelling of 105327200 in words is "one hundred five million, three hundred twenty-seven thousand, two hundred".