108451200 has 384 divisors, whose sum is σ = 424972800. Its totient is φ = 23961600.

The previous prime is 108451199. The next prime is 108451207. The reversal of 108451200 is 2154801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108451207) 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 47 ways as a sum of consecutive naturals, for example, 1372761 + ... + 1372839.

It is an arithmetic number, because the mean of its divisors is an integer number (1106700).

Almost surely, 2^108451200 is an apocalyptic number.

108451200 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 108451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212486400).

108451200 is an abundant number, since it is smaller than the sum of its proper divisors (316521600).

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

108451200 is a wasteful number, since it uses less digits than its factorization.

108451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 108451200 is about 10413.9905895867. The cubic root of 108451200 is about 476.8825750712.

The spelling of 108451200 in words is "one hundred eight million, four hundred fifty-one thousand, two hundred".