103013568 has 168 divisors, whose sum is σ = 349483680. Its totient is φ = 28385280.

The previous prime is 103013563. The next prime is 103013569. The reversal of 103013568 is 865310301.

103013568 is a `hidden beast` number, since 1 + 0 + 301 + 356 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×103013568² = 21223590384181248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103013563) 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, 116488 + ... + 117368.

It is an arithmetic number, because the mean of its divisors is an integer number (2080260).

Almost surely, 2^103013568 is an apocalyptic number.

103013568 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 103013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840).

103013568 is an abundant number, since it is smaller than the sum of its proper divisors (246470112).

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

103013568 is a wasteful number, since it uses less digits than its factorization.

103013568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103013568 is about 10149.5599904626. The cubic root of 103013568 is about 468.7753965973.

Adding to 103013568 its reverse (865310301), we get a palindrome (968323869).

The spelling of 103013568 in words is "one hundred three million, thirteen thousand, five hundred sixty-eight".