10114560 has 120 divisors (see below), whose sum is σ = 35109360. Its totient is φ = 2691072.

The previous prime is 10114553. The next prime is 10114561. The reversal of 10114560 is 6541101.

10114560 is a `hidden beast` number, since 101 + 1 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22821 + ... + 23259.

It is an arithmetic number, because the mean of its divisors is an integer number (292578).

Almost surely, 2^10114560 is an apocalyptic number.

10114560 is a gapful number since it is divisible by the number (10) 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 10114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554680).

10114560 is an abundant number, since it is smaller than the sum of its proper divisors (24994800).

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

10114560 is an equidigital number, since it uses as much as digits as its factorization.

10114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10114560 is about 3180.3396045077. The cubic root of 10114560 is about 216.2630539972.

Adding to 10114560 its reverse (6541101), we get a palindrome (16655661).

The spelling of 10114560 in words is "ten million, one hundred fourteen thousand, five hundred sixty".