112305980 has 48 divisors (see below), whose sum is σ = 245337120. Its totient is φ = 43131648.

The previous prime is 112305971. The next prime is 112306013. The reversal of 112305980 is 89503211.

It is a super-2 number, since 2×112305980² = 25225266287520800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131234 + ... + 132086.

It is an arithmetic number, because the mean of its divisors is an integer number (5111190).

Almost surely, 2^112305980 is an apocalyptic number.

112305980 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 112305980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122668560).

112305980 is an abundant number, since it is smaller than the sum of its proper divisors (133031140).

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

112305980 is a wasteful number, since it uses less digits than its factorization.

112305980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 112305980 is about 10597.4515804508. The cubic root of 112305980 is about 482.4670152042.

The spelling of 112305980 in words is "one hundred twelve million, three hundred five thousand, nine hundred eighty".