103768000 has 224 divisors, whose sum is σ = 313822080. Its totient is φ = 33177600.

The previous prime is 103767997. The next prime is 103768031. The reversal of 103768000 is 867301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951946 + ... + 952054.

Almost surely, 2^103768000 is an apocalyptic number.

103768000 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 103768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156911040).

103768000 is an abundant number, since it is smaller than the sum of its proper divisors (210054080).

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

103768000 is a wasteful number, since it uses less digits than its factorization.

103768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 103768000 is about 10186.6579406594. The cubic root of 103768000 is about 469.9169915272.

The spelling of 103768000 in words is "one hundred three million, seven hundred sixty-eight thousand".