112781088 has 144 divisors (see below), whose sum is σ = 375350976. Its totient is φ = 31449600.

The previous prime is 112781083. The next prime is 112781089. The reversal of 112781088 is 880187211.

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

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

It is not an unprimeable number, because it can be changed into a prime (112781083) 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 23 ways as a sum of consecutive naturals, for example, 86038 + ... + 87338.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604).

Almost surely, 2^112781088 is an apocalyptic number.

112781088 is a gapful number since it is divisible by the number (18) 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 112781088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488).

112781088 is an abundant number, since it is smaller than the sum of its proper divisors (262569888).

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

112781088 is a wasteful number, since it uses less digits than its factorization.

112781088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 112781088 is about 10619.8440666518. The cubic root of 112781088 is about 483.1464134397.

It can be divided in two parts, 1127 and 81088, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 112781088 in words is "one hundred twelve million, seven hundred eighty-one thousand, eighty-eight".