111045120 has 160 divisors (see below), whose sum is σ = 374172480. Its totient is φ = 28016640.

The previous prime is 111045091. The next prime is 111045149. The reversal of 111045120 is 21540111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111045091) and next prime (111045149).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111045120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145540 + ... + 146300.

It is an arithmetic number, because the mean of its divisors is an integer number (2338578).

Almost surely, 2^111045120 is an apocalyptic number.

111045120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187086240).

111045120 is an abundant number, since it is smaller than the sum of its proper divisors (263127360).

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

111045120 is an equidigital number, since it uses as much as digits as its factorization.

111045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 111045120 is about 10537.7948357329. The cubic root of 111045120 is about 480.6546622690.

Adding to 111045120 its reverse (21540111), we get a palindrome (132585231).

The spelling of 111045120 in words is "one hundred eleven million, forty-five thousand, one hundred twenty".