111742560 has 144 divisors (see below), whose sum is σ = 386908704. Its totient is φ = 29362176.

The previous prime is 111742559. The next prime is 111742571. The reversal of 111742560 is 65247111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 104589 + ... + 105651.

It is an arithmetic number, because the mean of its divisors is an integer number (2686866).

Almost surely, 2^111742560 is an apocalyptic number.

111742560 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 111742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193454352).

111742560 is an abundant number, since it is smaller than the sum of its proper divisors (275166144).

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

111742560 is a wasteful number, since it uses less digits than its factorization.

111742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 111742560 is about 10570.8353501509. The cubic root of 111742560 is about 481.6588438896.

Adding to 111742560 its reverse (65247111), we get a palindrome (176989671).

The spelling of 111742560 in words is "one hundred eleven million, seven hundred forty-two thousand, five hundred sixty".