112510640 has 120 divisors (see below), whose sum is σ = 293887440. Its totient is φ = 40015360.

The previous prime is 112510589. The next prime is 112510649. The reversal of 112510640 is 46015211.

It is a super-3 number, since 3×112510640³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (112510649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571022 + ... + 571218.

It is an arithmetic number, because the mean of its divisors is an integer number (2449062).

Almost surely, 2^112510640 is an apocalyptic number.

112510640 is a gapful number since it is divisible by the number (10) 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 112510640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146943720).

112510640 is an abundant number, since it is smaller than the sum of its proper divisors (181376800).

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

112510640 is a wasteful number, since it uses less digits than its factorization.

112510640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 112510640 is about 10607.1032803494. The cubic root of 112510640 is about 482.7599107965.

Adding to 112510640 its reverse (46015211), we get a palindrome (158525851).

The spelling of 112510640 in words is "one hundred twelve million, five hundred ten thousand, six hundred forty".