112705020 has 120 divisors (see below), whose sum is σ = 365904000. Its totient is φ = 29006208.

The previous prime is 112705009. The next prime is 112705031. The reversal of 112705020 is 20507211.

It is an interprime number because it is at equal distance from previous prime (112705009) and next prime (112705031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112704984 and 112705002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45781 + ... + 48179.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2^112705020 is an apocalyptic number.

112705020 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 112705020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182952000).

112705020 is an abundant number, since it is smaller than the sum of its proper divisors (253198980).

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

112705020 is a wasteful number, since it uses less digits than its factorization.

112705020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 112705020 is about 10616.2620540377. The cubic root of 112705020 is about 483.0377656516.

It can be divided in two parts, 11270 and 5020, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 112705020 in words is "one hundred twelve million, seven hundred five thousand, twenty".