103008768 has 80 divisors (see below), whose sum is σ = 276619200. Its totient is φ = 34062336.

The previous prime is 103008751. The next prime is 103008781. The reversal of 103008768 is 867800301.

It is a super-2 number, since 2×103008768² = 21221612569755648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305496 + ... + 305832.

It is an arithmetic number, because the mean of its divisors is an integer number (3457740).

Almost surely, 2^103008768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138309600).

103008768 is an abundant number, since it is smaller than the sum of its proper divisors (173610432).

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

103008768 is an equidigital number, since it uses as much as digits as its factorization.

103008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 103008768 is about 10149.3235242552. The cubic root of 103008768 is about 468.7681154954.

The spelling of 103008768 in words is "one hundred three million, eight thousand, seven hundred sixty-eight".