111295968 has 96 divisors (see below), whose sum is σ = 345461760. Its totient is φ = 30696960.

The previous prime is 111295931. The next prime is 111295993. The reversal of 111295968 is 869592111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16633 + ... + 22343.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2^111295968 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 111295968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172730880).

111295968 is an abundant number, since it is smaller than the sum of its proper divisors (234165792).

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

111295968 is a wasteful number, since it uses less digits than its factorization.

111295968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760 (or 5752 counting only the distinct ones).

The product of its digits is 38880, while the sum is 42.

The square root of 111295968 is about 10549.6904219982. The cubic root of 111295968 is about 481.0163188203.

The spelling of 111295968 in words is "one hundred eleven million, two hundred ninety-five thousand, nine hundred sixty-eight".