103121568 has 144 divisors (see below), whose sum is σ = 327783456. Its totient is φ = 30481920.

The previous prime is 103121567. The next prime is 103121591. The reversal of 103121568 is 865121301.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (103121563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135846 + ... + 136602.

It is an arithmetic number, because the mean of its divisors is an integer number (2276274).

Almost surely, 2^103121568 is an apocalyptic number.

103121568 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 103121568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163891728).

103121568 is an abundant number, since it is smaller than the sum of its proper divisors (224661888).

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

103121568 is a wasteful number, since it uses less digits than its factorization.

103121568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 103121568 is about 10154.8790243902. The cubic root of 103121568 is about 468.9391616279.

Adding to 103121568 its reverse (865121301), we get a palindrome (968242869).

The spelling of 103121568 in words is "one hundred three million, one hundred twenty-one thousand, five hundred sixty-eight".