103788000 has 288 divisors, whose sum is σ = 390368160. Its totient is φ = 26784000.

The previous prime is 103787993. The next prime is 103788037. The reversal of 103788000 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 (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3347985 + ... + 3348015.

It is an arithmetic number, because the mean of its divisors is an integer number (1355445).

Almost surely, 2^103788000 is an apocalyptic number.

103788000 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 103788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195184080).

103788000 is an abundant number, since it is smaller than the sum of its proper divisors (286580160).

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

103788000 is an equidigital number, since it uses as much as digits as its factorization.

103788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

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

The square root of 103788000 is about 10187.6395695961. The cubic root of 103788000 is about 469.9471798194.

The spelling of 103788000 in words is "one hundred three million, seven hundred eighty-eight thousand".