103668768 has 192 divisors, whose sum is σ = 352477440. Its totient is φ = 29030400.

The previous prime is 103668767. The next prime is 103668809. The reversal of 103668768 is 867866301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103668767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368788 + ... + 369068.

It is an arithmetic number, because the mean of its divisors is an integer number (1835820).

Almost surely, 2^103668768 is an apocalyptic number.

103668768 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 103668768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176238720).

103668768 is an abundant number, since it is smaller than the sum of its proper divisors (248808672).

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

103668768 is a wasteful number, since it uses less digits than its factorization.

103668768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 103668768 is about 10181.7860908585. The cubic root of 103668768 is about 469.7671519012.

The spelling of 103668768 in words is "one hundred three million, six hundred sixty-eight thousand, seven hundred sixty-eight".