107300 has 36 divisors (see below), whose sum is σ = 247380. Its totient is φ = 40320.

The previous prime is 107279. The next prime is 107309. The reversal of 107300 is 3701.

It can be written as a sum of positive squares in 6 ways, for example, as 1024 + 106276 = 32^2 + 326^2 .

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107309) by changing a digit.

107300 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 2882 + ... + 2918.

2¹⁰⁷³⁰⁰ is an apocalyptic number.

107300 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 107300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123690).

107300 is an abundant number, since it is smaller than the sum of its proper divisors (140080).

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

107300 is a wasteful number, since it uses less digits than its factorization.

107300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 11.

The square root of 107300 is about 327.5667870832. The cubic root of 107300 is about 47.5189213630.

The spelling of 107300 in words is "one hundred seven thousand, three hundred", and thus it is an iban number.