10123560 has 96 divisors (see below), whose sum is σ = 33513480. Its totient is φ = 2649600.

The previous prime is 10123559. The next prime is 10123579. The reversal of 10123560 is 6532101.

10123560 is a `hidden beast` number, since 101 + 2 + 3 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4334724 + 5788836 = 2082^2 + 2406^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 21730 + ... + 22190.

Almost surely, 2^10123560 is an apocalyptic number.

10123560 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 10123560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756740).

10123560 is an abundant number, since it is smaller than the sum of its proper divisors (23389920).

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

10123560 is a wasteful number, since it uses less digits than its factorization.

10123560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10123560 is about 3181.7542331236. The cubic root of 10123560 is about 216.3271790629.

Adding to 10123560 its reverse (6532101), we get a palindrome (16655661).

The spelling of 10123560 in words is "ten million, one hundred twenty-three thousand, five hundred sixty".