110605680 has 120 divisors (see below), whose sum is σ = 374306400. Its totient is φ = 29268480.

The previous prime is 110605673. The next prime is 110605687. The reversal of 110605680 is 86506011.

It is an interprime number because it is at equal distance from previous prime (110605673) and next prime (110605687).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110605687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106765 + ... + 107795.

It is an arithmetic number, because the mean of its divisors is an integer number (3119220).

Almost surely, 2^110605680 is an apocalyptic number.

110605680 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 110605680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187153200).

110605680 is an abundant number, since it is smaller than the sum of its proper divisors (263700720).

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

110605680 is a wasteful number, since it uses less digits than its factorization.

110605680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 110605680 is about 10516.9235045236. The cubic root of 110605680 is about 480.0197908507.

The spelling of 110605680 in words is "one hundred ten million, six hundred five thousand, six hundred eighty".