10115560 has 96 divisors (see below), whose sum is σ = 28584360. Its totient is φ = 3193344.

The previous prime is 10115557. The next prime is 10115563. The reversal of 10115560 is 6551101.

10115560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10115557) and next prime (10115563).

It can be written as a sum of positive squares in 4 ways, for example, as 7150276 + 2965284 = 2674^2 + 1722^2 .

It is a super-2 number, since 2×10115560² = 204649108227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10115563) 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, 25282 + ... + 25678.

Almost surely, 2^10115560 is an apocalyptic number.

10115560 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 10115560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14292180).

10115560 is an abundant number, since it is smaller than the sum of its proper divisors (18468800).

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

10115560 is a wasteful number, since it uses less digits than its factorization.

10115560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 10115560 is about 3180.4968165367. The cubic root of 10115560 is about 216.2701808825.

Adding to 10115560 its reverse (6551101), we get a palindrome (16666661).

It can be divided in two parts, 10115 and 560, that multiplied together give a square (5664400 = 2380²).

The spelling of 10115560 in words is "ten million, one hundred fifteen thousand, five hundred sixty".