103040 has 64 divisors (see below), whose sum is σ = 293760. Its totient is φ = 33792.

The previous prime is 103007. The next prime is 103043. The reversal of 103040 is 40301.

It is a Cunningham number, because it is equal to 321²-1.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103043) by changing a digit.

103040 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4469 + ... + 4491.

It is an arithmetic number, because the mean of its divisors is an integer number (4590).

2¹⁰³⁰⁴⁰ is an apocalyptic number.

103040 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 103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880).

103040 is an abundant number, since it is smaller than the sum of its proper divisors (190720).

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

103040 is an equidigital number, since it uses as much as digits as its factorization.

103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 103040 is about 320.9984423638. The cubic root of 103040 is about 46.8815487147.

Adding to 103040 its reverse (40301), we get a palindrome (143341).

The spelling of 103040 in words is "one hundred three thousand, forty", and thus it is an iban number.