112546980 has 144 divisors (see below), whose sum is σ = 420236544. Its totient is φ = 23742720.

The previous prime is 112546979. The next prime is 112546991. The reversal of 112546980 is 89645211.

112546980 is a `hidden beast` number, since 112 + 5 + 469 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12945 + ... + 19815.

Almost surely, 2^112546980 is an apocalyptic number.

112546980 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 112546980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210118272).

112546980 is an abundant number, since it is smaller than the sum of its proper divisors (307689564).

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

112546980 is a wasteful number, since it uses less digits than its factorization.

112546980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6906 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 112546980 is about 10608.8161450748. The cubic root of 112546980 is about 482.8118810122.

It can be divided in two parts, 112546 and 980, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 112546980 in words is "one hundred twelve million, five hundred forty-six thousand, nine hundred eighty".