103760 has 20 divisors (see below), whose sum is σ = 241428. Its totient is φ = 41472.

The previous prime is 103723. The next prime is 103769. The reversal of 103760 is 67301.

103760 = T₆₄ + T₆₅ + ... + T₉₅.

103760 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 23104 = 284^2 + 152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×103760² = 21532275200, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103760.

It is not an unprimeable number, because it can be changed into a prime (103769) by changing a digit.

103760 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 3 ways as a sum of consecutive naturals, for example, 569 + ... + 728.

2¹⁰³⁷⁶⁰ is an apocalyptic number.

103760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103760 is an abundant number, since it is smaller than the sum of its proper divisors (137668).

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

103760 is a wasteful number, since it uses less digits than its factorization.

103760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1304 counting only the distinct ones).

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

The square root of 103760 is about 322.1179908046. The cubic root of 103760 is about 46.9904915124.

The spelling of 103760 in words is "one hundred three thousand, seven hundred sixty".