103500 has 72 divisors (see below), whose sum is σ = 340704. Its totient is φ = 26400.

The previous prime is 103483. The next prime is 103511. The reversal of 103500 is 5301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

103500 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 (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4489 + ... + 4511.

It is an arithmetic number, because the mean of its divisors is an integer number (4732).

2¹⁰³⁵⁰⁰ is an apocalyptic number.

103500 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 103500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170352).

103500 is an abundant number, since it is smaller than the sum of its proper divisors (237204).

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

103500 is a wasteful number, since it uses less digits than its factorization.

103500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 103500 is about 321.7141588429. The cubic root of 103500 is about 46.9512093650.

Adding to 103500 its reverse (5301), we get a palindrome (108801).

The spelling of 103500 in words is "one hundred three thousand, five hundred".