107388000 has 288 divisors, whose sum is σ = 403734240. Its totient is φ = 26956800.

The previous prime is 107387993. The next prime is 107388011. The reversal of 107388000 is 883701.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683922 + ... + 684078.

It is an arithmetic number, because the mean of its divisors is an integer number (1401855).

Almost surely, 2^107388000 is an apocalyptic number.

107388000 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 107388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201867120).

107388000 is an abundant number, since it is smaller than the sum of its proper divisors (296346240).

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

107388000 is a wasteful number, since it uses less digits than its factorization.

107388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107388000 is about 10362.8181495190. The cubic root of 107388000 is about 475.3190838513.

The spelling of 107388000 in words is "one hundred seven million, three hundred eighty-eight thousand".