103408 has 20 divisors (see below), whose sum is σ = 209808. Its totient is φ = 49280.

The previous prime is 103399. The next prime is 103409. The reversal of 103408 is 804301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 103391 and 103400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103409) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 228 + ... + 508.

2¹⁰³⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104904).

103408 is an abundant number, since it is smaller than the sum of its proper divisors (106400).

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

103408 is a wasteful number, since it uses less digits than its factorization.

103408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 103408 is about 321.5711429839. The cubic root of 103408 is about 46.9372937716.

Adding to 103408 its reverse (804301), we get a palindrome (907709).

It can be divided in two parts, 103 and 408, that multiplied together give a palindrome (42024).

The spelling of 103408 in words is "one hundred three thousand, four hundred eight".