103740 has 96 divisors (see below), whose sum is σ = 376320. Its totient is φ = 20736.

The previous prime is 103723. The next prime is 103769. The reversal of 103740 is 47301.

103740 is a nontrivial binomial coefficient, being equal to C(456, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

103740 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 31 ways as a sum of consecutive naturals, for example, 5451 + ... + 5469.

It is an arithmetic number, because the mean of its divisors is an integer number (3920).

2¹⁰³⁷⁴⁰ is an apocalyptic number.

103740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103740 is the 455-th triangular number and also the 228-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160).

103740 is an abundant number, since it is smaller than the sum of its proper divisors (272580).

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

103740 is a wasteful number, since it uses less digits than its factorization.

103740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 103740 is about 322.0869447835. The cubic root of 103740 is about 46.9874721401.

The spelling of 103740 in words is "one hundred three thousand, seven hundred forty", and thus it is an iban number.