111393810 has 144 divisors (see below), whose sum is σ = 326034072. Its totient is φ = 26357760.

The previous prime is 111393787. The next prime is 111393811. The reversal of 111393810 is 18393111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 87216921 + 24176889 = 9339^2 + 4917^2 .

It is a super-2 number, since 2×111393810² = 24817161812632200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111393811) 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 71 ways as a sum of consecutive naturals, for example, 577074 + ... + 577266.

Almost surely, 2^111393810 is an apocalyptic number.

111393810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111393810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163017036).

111393810 is an abundant number, since it is smaller than the sum of its proper divisors (214640262).

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

111393810 is a wasteful number, since it uses less digits than its factorization.

111393810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 111393810 is about 10554.3266009727. The cubic root of 111393810 is about 481.1572338201.

The spelling of 111393810 in words is "one hundred eleven million, three hundred ninety-three thousand, eight hundred ten".