103788 has 36 divisors (see below), whose sum is σ = 278040. Its totient is φ = 33480.

The previous prime is 103787. The next prime is 103801. The reversal of 103788 is 887301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

103788 is a Rhonda number in base 8.

It is not an unprimeable number, because it can be changed into a prime (103787) 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, 3333 + ... + 3363.

2¹⁰³⁷⁸⁸ is an apocalyptic number.

103788 is a gapful number since it is divisible by the number (18) 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 103788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139020).

103788 is an abundant number, since it is smaller than the sum of its proper divisors (174252).

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

103788 is a wasteful number, since it uses less digits than its factorization.

103788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 103788 is about 322.1614502078. The cubic root of 103788 is about 46.9947179819.

Multiplying 103788 by its sum of digits (27), we get a square (2802276 = 1674²).

103788 divided by its sum of digits (27) gives a square (3844 = 62²).

The spelling of 103788 in words is "one hundred three thousand, seven hundred eighty-eight".