105080 has 32 divisors (see below), whose sum is σ = 246240. Its totient is φ = 40320.

The previous prime is 105071. The next prime is 105097. The reversal of 105080 is 80501.

It is a super-2 number, since 2×105080² = 22083612800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1445 + ... + 1515.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

2¹⁰⁵⁰⁸⁰ is an apocalyptic number.

105080 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 105080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123120).

105080 is an abundant number, since it is smaller than the sum of its proper divisors (141160).

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

105080 is a wasteful number, since it uses less digits than its factorization.

105080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 105080 is about 324.1604540964. The cubic root of 105080 is about 47.1889182066.

Adding to 105080 its reverse (80501), we get a palindrome (185581).

The spelling of 105080 in words is "one hundred five thousand, eighty".