112900320 has 288 divisors, whose sum is σ = 428736672. Its totient is φ = 26873856.

The previous prime is 112900313. The next prime is 112900321. The reversal of 112900320 is 23009211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×112900320² = 25492964512204800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112900293 and 112900302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112900321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692559 + ... + 692721.

It is an arithmetic number, because the mean of its divisors is an integer number (1488669).

Almost surely, 2^112900320 is an apocalyptic number.

112900320 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 112900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214368336).

112900320 is an abundant number, since it is smaller than the sum of its proper divisors (315836352).

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

112900320 is a wasteful number, since it uses less digits than its factorization.

112900320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 112900320 is about 10625.4562254992. The cubic root of 112900320 is about 483.3166140339.

Adding to 112900320 its reverse (23009211), we get a palindrome (135909531).

The spelling of 112900320 in words is "one hundred twelve million, nine hundred thousand, three hundred twenty".