103600 has 60 divisors (see below), whose sum is σ = 292144. Its totient is φ = 34560.

The previous prime is 103591. The next prime is 103613. The reversal of 103600 is 6301.

103600 = 10³ + 11³ + ... + 25³.

It is a super-3 number, since 3×103600³ = 3335803968000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 11 ways as a sum of consecutive naturals, for example, 2782 + ... + 2818.

2¹⁰³⁶⁰⁰ is an apocalyptic number.

103600 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 103600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146072).

103600 is an abundant number, since it is smaller than the sum of its proper divisors (188544).

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

103600 is a wasteful number, since it uses less digits than its factorization.

103600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 103600 is about 321.8695387886. The cubic root of 103600 is about 46.9663256601.

Adding to 103600 its reverse (6301), we get a palindrome (109901).

It can be divided in two parts, 103 and 600, that added together give a triangular number (703 = T₃₇).

The spelling of 103600 in words is "one hundred three thousand, six hundred".