10123568 has 80 divisors (see below), whose sum is σ = 25623360. Its totient is φ = 3760128.

The previous prime is 10123559. The next prime is 10123579. The reversal of 10123568 is 86532101.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24548 + ... + 24956.

It is an arithmetic number, because the mean of its divisors is an integer number (320292).

Almost surely, 2^10123568 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 10123568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12811680).

10123568 is an abundant number, since it is smaller than the sum of its proper divisors (15499792).

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

10123568 is a wasteful number, since it uses less digits than its factorization.

10123568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 10123568 is about 3181.7554902915. The cubic root of 10123568 is about 216.3272360461.

Adding to 10123568 its reverse (86532101), we get a palindrome (96655669).

The spelling of 10123568 in words is "ten million, one hundred twenty-three thousand, five hundred sixty-eight".