103360 has 56 divisors (see below), whose sum is σ = 274320. Its totient is φ = 36864.

The previous prime is 103357. The next prime is 103387. The reversal of 103360 is 63301.

103360 = T₂₆₁ + T₂₆₂ + T₂₆₃.

It is a self number, because there is not a number n which added to its sum of digits gives 103360.

It is a congruent number.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 5431 + ... + 5449.

2¹⁰³³⁶⁰ is an apocalyptic number.

103360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103360 is the 263-rd centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137160).

103360 is an abundant number, since it is smaller than the sum of its proper divisors (170960).

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

103360 is a wasteful number, since it uses less digits than its factorization.

103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 103360 is about 321.4965007586. The cubic root of 103360 is about 46.9300301853.

Adding to 103360 its reverse (63301), we get a palindrome (166661).

The spelling of 103360 in words is "one hundred three thousand, three hundred sixty".