112306688 has 80 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 50589696.

The previous prime is 112306651. The next prime is 112306721. The reversal of 112306688 is 886603211.

It is a super-2 number, since 2×112306688² = 25225584339058688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312653 + ... + 313011.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^112306688 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 112306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

112306688 is an abundant number, since it is smaller than the sum of its proper divisors (135177472).

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

112306688 is an equidigital number, since it uses as much as digits as its factorization.

112306688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 112306688 is about 10597.4849846556. The cubic root of 112306688 is about 482.4680290592.

Adding to 112306688 its reverse (886603211), we get a palindrome (998909899).

The spelling of 112306688 in words is "one hundred twelve million, three hundred six thousand, six hundred eighty-eight".