112810500 has 288 divisors, whose sum is σ = 404756352. Its totient is φ = 26208000.

The previous prime is 112810471. The next prime is 112810547. The reversal of 112810500 is 5018211.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2128474 + ... + 2128526.

It is an arithmetic number, because the mean of its divisors is an integer number (1405404).

Almost surely, 2^112810500 is an apocalyptic number.

112810500 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 112810500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202378176).

112810500 is an abundant number, since it is smaller than the sum of its proper divisors (291945852).

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

112810500 is a wasteful number, since it uses less digits than its factorization.

112810500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 112810500 is about 10621.2287424761. The cubic root of 112810500 is about 483.1884094500.

Adding to 112810500 its reverse (5018211), we get a palindrome (117828711).

It can be divided in two parts, 1128 and 10500, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 112810500 in words is "one hundred twelve million, eight hundred ten thousand, five hundred".