112530920 has 48 divisors (see below), whose sum is σ = 267256260. Its totient is φ = 42637824.

The previous prime is 112530919. The next prime is 112530923. The reversal of 112530920 is 29035211.

It can be written as a sum of positive squares in 2 ways, for example, as 106048804 + 6482116 = 10298^2 + 2546^2 .

It is not an unprimeable number, because it can be changed into a prime (112530923) 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, 10544 + ... + 18336.

Almost surely, 2^112530920 is an apocalyptic number.

112530920 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 112530920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133628130).

112530920 is an abundant number, since it is smaller than the sum of its proper divisors (154725340).

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

112530920 is a wasteful number, since it uses less digits than its factorization.

112530920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7842 (or 7819 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 112530920 is about 10608.0592004381. The cubic root of 112530920 is about 482.7889148172.

The spelling of 112530920 in words is "one hundred twelve million, five hundred thirty thousand, nine hundred twenty".