107380 has 48 divisors (see below), whose sum is σ = 282240. Its totient is φ = 33408.

The previous prime is 107377. The next prime is 107441. The reversal of 107380 is 83701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791 + ... + 1849.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2¹⁰⁷³⁸⁰ is an apocalyptic number.

107380 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 107380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141120).

107380 is an abundant number, since it is smaller than the sum of its proper divisors (174860).

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

107380 is a wasteful number, since it uses less digits than its factorization.

107380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 107380 is about 327.6888768329. The cubic root of 107380 is about 47.5307280400.

The spelling of 107380 in words is "one hundred seven thousand, three hundred eighty".