103456 has 24 divisors (see below), whose sum is σ = 210924. Its totient is φ = 49920.

The previous prime is 103451. The next prime is 103457. The reversal of 103456 is 654301.

It can be written as a sum of positive squares in 2 ways, for example, as 99856 + 3600 = 316^2 + 60^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (103451) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1666 + ... + 1726.

2¹⁰³⁴⁵⁶ is an apocalyptic number.

103456 is a gapful number since it is divisible by the number (16) 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 103456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105462).

103456 is an abundant number, since it is smaller than the sum of its proper divisors (107468).

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

103456 is an equidigital number, since it uses as much as digits as its factorization.

103456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 103456 is about 321.6457678876. The cubic root of 103456 is about 46.9445551105.

Adding to 103456 its reverse (654301), we get a palindrome (757757).

The spelling of 103456 in words is "one hundred three thousand, four hundred fifty-six".