112105030520 has 256 divisors, whose sum is σ = 308489472000. Its totient is φ = 35915384832.

The previous prime is 112105030507. The next prime is 112105030553. The reversal of 112105030520 is 25030501211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112105030492 and 112105030501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312270101 + ... + 312270459.

It is an arithmetic number, because the mean of its divisors is an integer number (1205037000).

Almost surely, 2^112105030520 is an apocalyptic number.

112105030520 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 112105030520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154244736000).

112105030520 is an abundant number, since it is smaller than the sum of its proper divisors (196384441480).

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

112105030520 is a wasteful number, since it uses less digits than its factorization.

112105030520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 112105030520 its reverse (25030501211), we get a palindrome (137135531731).

The spelling of 112105030520 in words is "one hundred twelve billion, one hundred five million, thirty thousand, five hundred twenty".