103008 has 48 divisors (see below), whose sum is σ = 287280. Its totient is φ = 32256.

The previous prime is 103007. The next prime is 103043. The reversal of 103008 is 800301.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×103008² = 21221296128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102984 and 103002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2766 + ... + 2802.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2¹⁰³⁰⁰⁸ 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 103008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

103008 is an abundant number, since it is smaller than the sum of its proper divisors (184272).

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

103008 is a wasteful number, since it uses less digits than its factorization.

103008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 103008 is about 320.9485940147. The cubic root of 103008 is about 46.8766950498.

Adding to 103008 its reverse (800301), we get a palindrome (903309).

The spelling of 103008 in words is "one hundred three thousand, eight".