111000400 has 120 divisors (see below), whose sum is σ = 315515520. Its totient is φ = 36718080.

The previous prime is 111000377. The next prime is 111000401. The reversal of 111000400 is 4000111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000401) 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, 80517 + ... + 81883.

It is an arithmetic number, because the mean of its divisors is an integer number (2629296).

Almost surely, 2^111000400 is an apocalyptic number.

111000400 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 111000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157757760).

111000400 is an abundant number, since it is smaller than the sum of its proper divisors (204515120).

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

111000400 is a wasteful number, since it uses less digits than its factorization.

111000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 111000400 is about 10535.6727359956. The cubic root of 111000400 is about 480.5901306546.

Adding to 111000400 its reverse (4000111), we get a palindrome (115000511).

The spelling of 111000400 in words is "one hundred eleven million, four hundred", and thus it is an aban number.