112551040 has 192 divisors, whose sum is σ = 324770040. Its totient is φ = 37158912.

The previous prime is 112551037. The next prime is 112551107. The reversal of 112551040 is 40155211.

It can be written as a sum of positive squares in 4 ways, for example, as 105021504 + 7529536 = 10248^2 + 2744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 112550999 and 112551017.

It is an unprimeable number.

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, 1160272 + ... + 1160368.

Almost surely, 2^112551040 is an apocalyptic number.

112551040 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 112551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162385020).

112551040 is an abundant number, since it is smaller than the sum of its proper divisors (212219000).

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

112551040 is an equidigital number, since it uses as much as digits as its factorization.

112551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 112551040 is about 10609.0074936348. The cubic root of 112551040 is about 482.8176865661.

The spelling of 112551040 in words is "one hundred twelve million, five hundred fifty-one thousand, forty".