107730 has 80 divisors (see below), whose sum is σ = 348480. Its totient is φ = 23328.

The previous prime is 107719. The next prime is 107741. The reversal of 107730 is 37701.

107730 = 48² + 49² + ... + 75².

107730 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (107719) and next prime (107741).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

107730 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5661 + ... + 5679.

It is an arithmetic number, because the mean of its divisors is an integer number (4356).

2¹⁰⁷⁷³⁰ is an apocalyptic number.

107730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174240).

107730 is an abundant number, since it is smaller than the sum of its proper divisors (240750).

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

107730 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 107730 = (173700)₉.

107730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 107730 is about 328.2224855186. Note that the first 3 decimals coincide. The cubic root of 107730 is about 47.5823134159.

The spelling of 107730 in words is "one hundred seven thousand, seven hundred thirty".