107360 has 48 divisors (see below), whose sum is σ = 281232. Its totient is φ = 38400.

The previous prime is 107357. The next prime is 107377. The reversal of 107360 is 63701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1730 + ... + 1790.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

2¹⁰⁷³⁶⁰ is an apocalyptic number.

107360 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 107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616).

107360 is an abundant number, since it is smaller than the sum of its proper divisors (173872).

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

107360 is a wasteful number, since it uses less digits than its factorization.

107360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 107360 is about 327.6583586604. The cubic root of 107360 is about 47.5277769207.

The spelling of 107360 in words is "one hundred seven thousand, three hundred sixty".