107748 has 36 divisors (see below), whose sum is σ = 282828. Its totient is φ = 34560.

The previous prime is 107747. The next prime is 107761. The reversal of 107748 is 847701.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 79524 = 168^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107748.

It is not an unprimeable number, because it can be changed into a prime (107741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1440 + ... + 1512.

2¹⁰⁷⁷⁴⁸ is an apocalyptic number.

107748 is a gapful number since it is divisible by the number (18) 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 107748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141414).

107748 is an abundant number, since it is smaller than the sum of its proper divisors (175080).

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

107748 is a wasteful number, since it uses less digits than its factorization.

107748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 107748 is about 328.2499047982. The cubic root of 107748 is about 47.5849633554.

The spelling of 107748 in words is "one hundred seven thousand, seven hundred forty-eight".