103400 has 48 divisors (see below), whose sum is σ = 267840. Its totient is φ = 36800.

The previous prime is 103399. The next prime is 103409. The reversal of 103400 is 4301.

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

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 11 ways as a sum of consecutive naturals, for example, 2177 + ... + 2223.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2¹⁰³⁴⁰⁰ is an apocalyptic number.

103400 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 103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

103400 is an abundant number, since it is smaller than the sum of its proper divisors (164440).

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

103400 is a wasteful number, since it uses less digits than its factorization.

103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

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

The square root of 103400 is about 321.5587038163. The cubic root of 103400 is about 46.9360833300.

Adding to 103400 its reverse (4301), we get a palindrome (107701).

Subtracting from 103400 its reverse (4301), we obtain a palindrome (99099).

The spelling of 103400 in words is "one hundred three thousand, four hundred", and thus it is an iban number.