111135420 has 216 divisors, whose sum is σ = 387183888. Its totient is φ = 25574400.

The previous prime is 111135407. The next prime is 111135421. The reversal of 111135420 is 24531111.

111135420 is a `hidden beast` number, since 11 + 113 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111135393 and 111135402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111135421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2710600 + ... + 2710640.

It is an arithmetic number, because the mean of its divisors is an integer number (1792518).

Almost surely, 2^111135420 is an apocalyptic number.

111135420 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 111135420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193591944).

111135420 is an abundant number, since it is smaller than the sum of its proper divisors (276048468).

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

111135420 is a wasteful number, since it uses less digits than its factorization.

111135420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 111135420 is about 10542.0785426784. The cubic root of 111135420 is about 480.7849136972.

Adding to 111135420 its reverse (24531111), we get a palindrome (135666531).

It can be divided in two parts, 111 and 135420, that added together give a palindrome (135531).

The spelling of 111135420 in words is "one hundred eleven million, one hundred thirty-five thousand, four hundred twenty".