112464980 has 24 divisors (see below), whose sum is σ = 236390280. Its totient is φ = 44945280.

The previous prime is 112464973. The next prime is 112464991. The reversal of 112464980 is 89464211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 109788484 = 1636^2 + 10478^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112464980.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30686 + ... + 34154.

It is an arithmetic number, because the mean of its divisors is an integer number (9849595).

Almost surely, 2^112464980 is an apocalyptic number.

112464980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112464980 is an abundant number, since it is smaller than the sum of its proper divisors (123925300).

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

112464980 is a wasteful number, since it uses less digits than its factorization.

112464980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 112464980 is about 10604.9507306729. The cubic root of 112464980 is about 482.6945960847.

The spelling of 112464980 in words is "one hundred twelve million, four hundred sixty-four thousand, nine hundred eighty".