105500080 has 80 divisors (see below), whose sum is σ = 292552704. Its totient is φ = 34594560.

The previous prime is 105500063. The next prime is 105500081. The reversal of 105500080 is 80005501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105500080² = 22260533760012800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105500081) 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, 8785 + ... + 16975.

Almost surely, 2^105500080 is an apocalyptic number.

105500080 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 105500080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146276352).

105500080 is an abundant number, since it is smaller than the sum of its proper divisors (187052624).

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

105500080 is a wasteful number, since it uses less digits than its factorization.

105500080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 105500080 is about 10271.3231864254. The cubic root of 105500080 is about 472.5171722807.

Adding to 105500080 its reverse (80005501), we get a palindrome (185505581).

The spelling of 105500080 in words is "one hundred five million, five hundred thousand, eighty".