112530600 has 384 divisors, whose sum is σ = 479136000. Its totient is φ = 23639040.

The previous prime is 112530581. The next prime is 112530601. The reversal of 112530600 is 6035211.

112530600 is a `hidden beast` number, since 1 + 12 + 53 + 0 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112530601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 491286 + ... + 491514.

It is an arithmetic number, because the mean of its divisors is an integer number (1247750).

Almost surely, 2^112530600 is an apocalyptic number.

112530600 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 112530600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239568000).

112530600 is an abundant number, since it is smaller than the sum of its proper divisors (366605400).

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

112530600 is a wasteful number, since it uses less digits than its factorization.

112530600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 112530600 is about 10608.0441175553. The cubic root of 112530600 is about 482.7884571871.

Adding to 112530600 its reverse (6035211), we get a palindrome (118565811).

The spelling of 112530600 in words is "one hundred twelve million, five hundred thirty thousand, six hundred".