109766112 has 48 divisors (see below), whose sum is σ = 289452240. Its totient is φ = 36421632.

The previous prime is 109766081. The next prime is 109766117. The reversal of 109766112 is 211667901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109766117) 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 7 ways as a sum of consecutive naturals, for example, 19488 + ... + 24480.

It is an arithmetic number, because the mean of its divisors is an integer number (6030255).

Almost surely, 2^109766112 is an apocalyptic number.

109766112 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 109766112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144726120).

109766112 is an abundant number, since it is smaller than the sum of its proper divisors (179686128).

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

109766112 is a wasteful number, since it uses less digits than its factorization.

109766112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 109766112 is about 10476.9323754618. The cubic root of 109766112 is about 478.8021521264.

The spelling of 109766112 in words is "one hundred nine million, seven hundred sixty-six thousand, one hundred twelve".