10121568 has 48 divisors (see below), whose sum is σ = 27034560. Its totient is φ = 3314816.

The previous prime is 10121561. The next prime is 10121603. The reversal of 10121568 is 86512101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10121568² = 204892277557248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4771 + ... + 6557.

It is an arithmetic number, because the mean of its divisors is an integer number (563220).

Almost surely, 2^10121568 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 10121568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13517280).

10121568 is an abundant number, since it is smaller than the sum of its proper divisors (16912992).

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

10121568 is a wasteful number, since it uses less digits than its factorization.

10121568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 10121568 is about 3181.4411828604. The cubic root of 10121568 is about 216.3129893244.

Adding to 10121568 its reverse (86512101), we get a palindrome (96633669).

The spelling of 10121568 in words is "ten million, one hundred twenty-one thousand, five hundred sixty-eight".