107760 has 40 divisors (see below), whose sum is σ = 334800. Its totient is φ = 28672.

The previous prime is 107747. The next prime is 107761. The reversal of 107760 is 67701.

107760 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×107760² = 23224435200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2¹⁰⁷⁷⁶⁰ is an apocalyptic number.

107760 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 107760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400).

107760 is an abundant number, since it is smaller than the sum of its proper divisors (227040).

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

107760 is a wasteful number, since it uses less digits than its factorization.

107760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 107760 is about 328.2681830455. The cubic root of 107760 is about 47.5867298177.

It can be divided in two parts, 1077 and 60, that multiplied together give a triangular number (64620 = T₃₅₉).

The spelling of 107760 in words is "one hundred seven thousand, seven hundred sixty".