111842208 has 144 divisors (see below), whose sum is σ = 347649120. Its totient is φ = 35271936.

The previous prime is 111842207. The next prime is 111842209. The reversal of 111842208 is 802248111.

It is an interprime number because it is at equal distance from previous prime (111842207) and next prime (111842209).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (111842207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147366 + ... + 148122.

It is an arithmetic number, because the mean of its divisors is an integer number (2414230).

Almost surely, 2^111842208 is an apocalyptic number.

111842208 is a gapful number since it is divisible by the number (18) 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 111842208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173824560).

111842208 is an abundant number, since it is smaller than the sum of its proper divisors (235806912).

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

111842208 is an equidigital number, since it uses as much as digits as its factorization.

111842208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 111842208 is about 10575.5476453941. The cubic root of 111842208 is about 481.8019767013.

The spelling of 111842208 in words is "one hundred eleven million, eight hundred forty-two thousand, two hundred eight".