111981792 has 96 divisors (see below), whose sum is σ = 322727328. Its totient is φ = 33785856.

The previous prime is 111981791. The next prime is 111981811. The reversal of 111981792 is 297189111.

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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 111981792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111981791) by changing a digit.

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, 65298 + ... + 66990.

It is an arithmetic number, because the mean of its divisors is an integer number (3361743).

Almost surely, 2^111981792 is an apocalyptic number.

111981792 is a gapful number since it is divisible by the number (12) 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 111981792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161363664).

111981792 is an abundant number, since it is smaller than the sum of its proper divisors (210745536).

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

111981792 is a wasteful number, since it uses less digits than its factorization.

111981792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1764 counting only the distinct ones).

The product of its digits is 9072, while the sum is 39.

The square root of 111981792 is about 10582.1449621520. The cubic root of 111981792 is about 482.0023300680.

It can be divided in two parts, 11 and 1981792, that multiplied together give a palindrome (21799712).

The spelling of 111981792 in words is "one hundred eleven million, nine hundred eighty-one thousand, seven hundred ninety-two".