111284992 has 144 divisors (see below), whose sum is σ = 290509632. Its totient is φ = 41287680.

The previous prime is 111284983. The next prime is 111284993. The reversal of 111284992 is 299482111.

It is not an unprimeable number, because it can be changed into a prime (111284993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395892 + ... + 396172.

It is an arithmetic number, because the mean of its divisors is an integer number (2017428).

Almost surely, 2^111284992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145254816).

111284992 is an abundant number, since it is smaller than the sum of its proper divisors (179224640).

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

111284992 is a wasteful number, since it uses less digits than its factorization.

111284992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its digits is 10368, while the sum is 37.

The square root of 111284992 is about 10549.1702043336. The cubic root of 111284992 is about 481.0005057027. Note that the first 3 decimals are identical.

The spelling of 111284992 in words is "one hundred eleven million, two hundred eighty-four thousand, nine hundred ninety-two".