111945 has 16 divisors (see below), whose sum is σ = 190080. Its totient is φ = 56064.

The previous prime is 111919. The next prime is 111949. The reversal of 111945 is 549111.

111945 = 73² + 74² + ... + 89².

It is not a de Polignac number, because 111945 - 2⁵ = 111913 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 111945.

It is not an unprimeable number, because it can be changed into a prime (111949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (11880).

2¹¹¹⁹⁴⁵ is an apocalyptic number.

111945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111945 is a deficient number, since it is larger than the sum of its proper divisors (78135).

111945 is a wasteful number, since it uses less digits than its factorization.

111945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464.

The product of its digits is 180, while the sum is 21.

The square root of 111945 is about 334.5818285562. The cubic root of 111945 is about 48.1949536449.

The spelling of 111945 in words is "one hundred eleven thousand, nine hundred forty-five".