111385800 has 96 divisors (see below), whose sum is σ = 383680800. Its totient is φ = 29701440.

The previous prime is 111385787. The next prime is 111385801. The reversal of 111385800 is 8583111.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (111385801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4914 + ... + 15713.

It is an arithmetic number, because the mean of its divisors is an integer number (3996675).

Almost surely, 2^111385800 is an apocalyptic number.

111385800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111385800 is an abundant number, since it is smaller than the sum of its proper divisors (272295000).

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

111385800 is a wasteful number, since it uses less digits than its factorization.

111385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20652 (or 20637 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 111385800 is about 10553.9471289182. The cubic root of 111385800 is about 481.1457006783.

The spelling of 111385800 in words is "one hundred eleven million, three hundred eighty-five thousand, eight hundred".