10114688 has 32 divisors (see below), whose sum is σ = 21216000. Its totient is φ = 4790016.

The previous prime is 10114673. The next prime is 10114691. The reversal of 10114688 is 88641101.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10114688.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 353 + ... + 4511.

It is an arithmetic number, because the mean of its divisors is an integer number (663000).

Almost surely, 2^10114688 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 10114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10608000).

10114688 is an abundant number, since it is smaller than the sum of its proper divisors (11101312).

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

10114688 is an equidigital number, since it uses as much as digits as its factorization.

10114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

The square root of 10114688 is about 3180.3597280811. The cubic root of 10114688 is about 216.2639662647.

Adding to 10114688 its reverse (88641101), we get a palindrome (98755789).

The spelling of 10114688 in words is "ten million, one hundred fourteen thousand, six hundred eighty-eight".