111601600 has 168 divisors, whose sum is σ = 318046608. Its totient is φ = 38092800.

The previous prime is 111601577. The next prime is 111601601. The reversal of 111601600 is 6106111.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111601601) 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, 299014 + ... + 299386.

Almost surely, 2^111601600 is an apocalyptic number.

111601600 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 111601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159023304).

111601600 is an abundant number, since it is smaller than the sum of its proper divisors (206445008).

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

111601600 is a wasteful number, since it uses less digits than its factorization.

111601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 111601600 is about 10564.1658449685. The cubic root of 111601600 is about 481.4562257773.

Adding to 111601600 its reverse (6106111), we get a palindrome (117707711).

The spelling of 111601600 in words is "one hundred eleven million, six hundred one thousand, six hundred".