105608080 has 160 divisors (see below), whose sum is σ = 282303360. Its totient is φ = 36495360.

The previous prime is 105608077. The next prime is 105608081. The reversal of 105608080 is 80806501.

It is a happy number.

It is a super-2 number, since 2×105608080² = 22306133122572800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105608081) 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 31 ways as a sum of consecutive naturals, for example, 1576207 + ... + 1576273.

It is an arithmetic number, because the mean of its divisors is an integer number (1764396).

Almost surely, 2^105608080 is an apocalyptic number.

105608080 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 105608080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141151680).

105608080 is an abundant number, since it is smaller than the sum of its proper divisors (176695280).

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

105608080 is a wasteful number, since it uses less digits than its factorization.

105608080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 105608080 is about 10276.5791973789. The cubic root of 105608080 is about 472.6783552574.

The spelling of 105608080 in words is "one hundred five million, six hundred eight thousand, eighty".