111314400 has 72 divisors (see below), whose sum is σ = 362336184. Its totient is φ = 29683200.

The previous prime is 111314393. The next prime is 111314449. The reversal of 111314400 is 4413111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111314400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20791 + ... + 25590.

It is an arithmetic number, because the mean of its divisors is an integer number (5032447).

Almost surely, 2^111314400 is an apocalyptic number.

111314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111314400 is an abundant number, since it is smaller than the sum of its proper divisors (251021784).

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

111314400 is a wasteful number, since it uses less digits than its factorization.

111314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46404 (or 46391 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 111314400 is about 10550.5639659688. The cubic root of 111314400 is about 481.0428714545.

Adding to 111314400 its reverse (4413111), we get a palindrome (115727511).

The spelling of 111314400 in words is "one hundred eleven million, three hundred fourteen thousand, four hundred".