107148800 has 120 divisors (see below), whose sum is σ = 289983672. Its totient is φ = 38912000.

The previous prime is 107148763. The next prime is 107148817. The reversal of 107148800 is 8841701.

It is a super-2 number, since 2×107148800² = 22961730682880000, which contains 22 as substring.

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, 140420 + ... + 141180.

Almost surely, 2^107148800 is an apocalyptic number.

107148800 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 107148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144991836).

107148800 is an abundant number, since it is smaller than the sum of its proper divisors (182834872).

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

107148800 is an equidigital number, since it uses as much as digits as its factorization.

107148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 107148800 is about 10351.2704534274. The cubic root of 107148800 is about 474.9659070637.

The spelling of 107148800 in words is "one hundred seven million, one hundred forty-eight thousand, eight hundred".