111936400 has 75 divisors (see below), whose sum is σ = 281151121. Its totient is φ = 42827840.

The previous prime is 111936389. The next prime is 111936401. The reversal of 111936400 is 4639111.

The square root of 111936400 is 10580.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 40297104 + 71639296 = 6348^2 + 8464^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111936401) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4866789 + ... + 4866811.

Almost surely, 2^111936400 is an apocalyptic number.

111936400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111936400 is the 10580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111936400

111936400 is an abundant number, since it is smaller than the sum of its proper divisors (169214721).

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

111936400 is an frugal number, since it uses more digits than its factorization.

111936400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The cubic root of 111936400 is about 481.9371944590.

Multiplying 111936400 by its sum of digits (25), we get a 4-th power (2798410000 = 230⁴).

111936400 divided by its sum of digits (25) gives a 4-th power (4477456 = 46⁴).

The spelling of 111936400 in words is "one hundred eleven million, nine hundred thirty-six thousand, four hundred".