111801600 has 216 divisors, whose sum is σ = 410598720. Its totient is φ = 29767680.

The previous prime is 111801559. The next prime is 111801611. The reversal of 111801600 is 6108111.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172477 + ... + 173123.

It is an arithmetic number, because the mean of its divisors is an integer number (1900920).

Almost surely, 2^111801600 is an apocalyptic number.

111801600 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 111801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205299360).

111801600 is an abundant number, since it is smaller than the sum of its proper divisors (298797120).

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

111801600 is an equidigital number, since it uses as much as digits as its factorization.

111801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 111801600 is about 10573.6275705171. The cubic root of 111801600 is about 481.7436582799.

Adding to 111801600 its reverse (6108111), we get a palindrome (117909711).

The spelling of 111801600 in words is "one hundred eleven million, eight hundred one thousand, six hundred".