112005124 has 96 divisors (see below), whose sum is σ = 259209216. Its totient is φ = 41057280.

The previous prime is 112005119. The next prime is 112005149. The reversal of 112005124 is 421500211.

112005124 = T₁₆₆₇ + T₁₆₆₈ + ... + T₁₇₄₃.

It is a junction number, because it is equal to n+sod(n) for n = 112005098 and 112005107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687067 + ... + 687229.

It is an arithmetic number, because the mean of its divisors is an integer number (2700096).

Almost surely, 2^112005124 is an apocalyptic number.

112005124 is a gapful number since it is divisible by the number (14) 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 112005124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129604608).

112005124 is an abundant number, since it is smaller than the sum of its proper divisors (147204092).

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

112005124 is a wasteful number, since it uses less digits than its factorization.

112005124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 112005124 is about 10583.2473277345. The cubic root of 112005124 is about 482.0358036569.

Adding to 112005124 its reverse (421500211), we get a palindrome (533505335).

The spelling of 112005124 in words is "one hundred twelve million, five thousand, one hundred twenty-four".