10112688 has 120 divisors (see below), whose sum is σ = 31215760. Its totient is φ = 3172608.

The previous prime is 10112657. The next prime is 10112689. The reversal of 10112688 is 88621101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10112689) by changing a digit.

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, 594856 + ... + 594872.

Almost surely, 2^10112688 is an apocalyptic number.

10112688 is a gapful number since it is divisible by the number (18) 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 10112688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15607880).

10112688 is an abundant number, since it is smaller than the sum of its proper divisors (21103072).

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

10112688 is an frugal number, since it uses more digits than its factorization.

10112688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 10112688 is about 3180.0452826965. The cubic root of 10112688 is about 216.2497112050.

Multiplying 10112688 by its sum of digits (27), we get a square (273042576 = 16524²).

10112688 divided by its sum of digits (27) gives a square (374544 = 612²).

Multiplying 10112688 by its product of nonzero digits (768), we get a square (7766544384 = 88128²).

Adding to 10112688 its reverse (88621101), we get a palindrome (98733789).

The spelling of 10112688 in words is "ten million, one hundred twelve thousand, six hundred eighty-eight".