103104000 has 240 divisors, whose sum is σ = 373435920. Its totient is φ = 27340800.

The previous prime is 103103989. The next prime is 103104017. The reversal of 103104000 is 401301.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575911 + ... + 576089.

It is an arithmetic number, because the mean of its divisors is an integer number (1555983).

Almost surely, 2^103104000 is an apocalyptic number.

103104000 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 103104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186717960).

103104000 is an abundant number, since it is smaller than the sum of its proper divisors (270331920).

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

103104000 is an equidigital number, since it uses as much as digits as its factorization.

103104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103104000 is about 10154.0139846270. The cubic root of 103104000 is about 468.9125303058.

Adding to 103104000 its reverse (401301), we get a palindrome (103505301).

The spelling of 103104000 in words is "one hundred three million, one hundred four thousand".