112805760 has 128 divisors (see below), whose sum is σ = 368595360. Its totient is φ = 29327360.

The previous prime is 112805747. The next prime is 112805773. The reversal of 112805760 is 67508211.

It is an interprime number because it is at equal distance from previous prime (112805747) and next prime (112805773).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 78004 + ... + 79436.

Almost surely, 2^112805760 is an apocalyptic number.

112805760 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 112805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184297680).

112805760 is an abundant number, since it is smaller than the sum of its proper divisors (255789600).

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

112805760 is a wasteful number, since it uses less digits than its factorization.

112805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 112805760 is about 10621.0056021076. The cubic root of 112805760 is about 483.1816419205.

The spelling of 112805760 in words is "one hundred twelve million, eight hundred five thousand, seven hundred sixty".