112601088 has 144 divisors (see below), whose sum is σ = 335380500. Its totient is φ = 36372480.

The previous prime is 112601053. The next prime is 112601089. The reversal of 112601088 is 880106211.

It can be written as a sum of positive squares in 2 ways, for example, as 86713344 + 25887744 = 9312^2 + 5088^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×112601088³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112601089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755638 + ... + 755786.

Almost surely, 2^112601088 is an apocalyptic number.

112601088 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 112601088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167690250).

112601088 is an abundant number, since it is smaller than the sum of its proper divisors (222779412).

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

112601088 is a wasteful number, since it uses less digits than its factorization.

112601088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 195 counting only the distinct ones).

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

The square root of 112601088 is about 10611.3659818140. The cubic root of 112601088 is about 482.8892407066.

Adding to 112601088 its reverse (880106211), we get a palindrome (992707299).

The spelling of 112601088 in words is "one hundred twelve million, six hundred one thousand, eighty-eight".