107468800 has 72 divisors (see below), whose sum is σ = 266584500. Its totient is φ = 42967040.

The previous prime is 107468773. The next prime is 107468821. The reversal of 107468800 is 8864701.

It is a happy number.

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 5 ways as a sum of consecutive naturals, for example, 50151 + ... + 52249.

Almost surely, 2^107468800 is an apocalyptic number.

107468800 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 107468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133292250).

107468800 is an abundant number, since it is smaller than the sum of its proper divisors (159115700).

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

107468800 is an equidigital number, since it uses as much as digits as its factorization.

107468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 107468800 is about 10366.7159698720. The cubic root of 107468800 is about 475.4382658632.

The spelling of 107468800 in words is "one hundred seven million, four hundred sixty-eight thousand, eight hundred".