112893000 has 192 divisors, whose sum is σ = 388402560. Its totient is φ = 27280000.

The previous prime is 112892987. The next prime is 112893007. The reversal of 112893000 is 398211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (112893007) by changing a digit.

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, 362845 + ... + 363155.

It is an arithmetic number, because the mean of its divisors is an integer number (2022930).

Almost surely, 2^112893000 is an apocalyptic number.

112893000 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 112893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194201280).

112893000 is an abundant number, since it is smaller than the sum of its proper divisors (275509560).

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

112893000 is a wasteful number, since it uses less digits than its factorization.

112893000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 112893000 is about 10625.1117641181. Note that the first 3 decimals coincide. The cubic root of 112893000 is about 483.3061683768.

The spelling of 112893000 in words is "one hundred twelve million, eight hundred ninety-three thousand".