10115712 has 64 divisors (see below), whose sum is σ = 29865600. Its totient is φ = 3370752.

The previous prime is 10115711. The next prime is 10115717. The reversal of 10115712 is 21751101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (10115711) 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, 1993 + ... + 4919.

It is an arithmetic number, because the mean of its divisors is an integer number (466650).

Almost surely, 2^10115712 is an apocalyptic number.

10115712 is a gapful number since it is divisible by the number (12) 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 10115712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14932800).

10115712 is an abundant number, since it is smaller than the sum of its proper divisors (19749888).

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

10115712 is an equidigital number, since it uses as much as digits as its factorization.

10115712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 10115712 is about 3180.5207120847. The cubic root of 10115712 is about 216.2712641279.

Adding to 10115712 its reverse (21751101), we get a palindrome (31866813).

The spelling of 10115712 in words is "ten million, one hundred fifteen thousand, seven hundred twelve".