111774096 has 240 divisors, whose sum is σ = 381721600. Its totient is φ = 30481920.

The previous prime is 111774059. The next prime is 111774101. The reversal of 111774096 is 690477111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 111774096.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1531116 + ... + 1531188.

Almost surely, 2^111774096 is an apocalyptic number.

111774096 is a gapful number since it is divisible by the number (16) 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 111774096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190860800).

111774096 is an abundant number, since it is smaller than the sum of its proper divisors (269947504).

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

111774096 is a wasteful number, since it uses less digits than its factorization.

111774096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 111774096 is about 10572.3268961946. The cubic root of 111774096 is about 481.7041509018.

The spelling of 111774096 in words is "one hundred eleven million, seven hundred seventy-four thousand, ninety-six".