111385088 has 80 divisors (see below), whose sum is σ = 240413184. Its totient is φ = 51363840.

The previous prime is 111385073. The next prime is 111385091. The reversal of 111385088 is 880583111.

It is a super-3 number, since 3×111385088³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583073 + ... + 583263.

Almost surely, 2^111385088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111385088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120206592).

111385088 is an abundant number, since it is smaller than the sum of its proper divisors (129028096).

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

111385088 is an equidigital number, since it uses as much as digits as its factorization.

111385088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 35.

The square root of 111385088 is about 10553.9133974086. The cubic root of 111385088 is about 481.1446754834.

The spelling of 111385088 in words is "one hundred eleven million, three hundred eighty-five thousand, eighty-eight".