111311145 has 64 divisors (see below), whose sum is σ = 225331200. Its totient is φ = 51606720.

The previous prime is 111311131. The next prime is 111311147. The reversal of 111311145 is 541113111.

It is not a de Polignac number, because 111311145 - 2¹³ = 111302953 is a prime.

It is a super-2 number, since 2×111311145² = 24780342002422050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111311147) 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 63 ways as a sum of consecutive naturals, for example, 32526 + ... + 35784.

It is an arithmetic number, because the mean of its divisors is an integer number (3520800).

Almost surely, 2^111311145 is an apocalyptic number.

111311145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111311145 is an abundant number, since it is smaller than the sum of its proper divisors (114020055).

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

111311145 is a wasteful number, since it uses less digits than its factorization.

111311145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307 (or 3301 counting only the distinct ones).

The product of its digits is 60, while the sum is 18.

The square root of 111311145 is about 10550.4097076843. The cubic root of 111311145 is about 481.0381826038.

Adding to 111311145 its reverse (541113111), we get a palindrome (652424256).

The spelling of 111311145 in words is "one hundred eleven million, three hundred eleven thousand, one hundred forty-five".