105280 has 56 divisors (see below), whose sum is σ = 292608. Its totient is φ = 35328.

The previous prime is 105277. The next prime is 105319. The reversal of 105280 is 82501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105280² = 22167756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2217 + ... + 2263.

2¹⁰⁵²⁸⁰ is an apocalyptic number.

105280 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 105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304).

105280 is an abundant number, since it is smaller than the sum of its proper divisors (187328).

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

105280 is an equidigital number, since it uses as much as digits as its factorization.

105280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 105280 is about 324.4687966508. The cubic root of 105280 is about 47.2188376403.

Adding to 105280 its reverse (82501), we get a palindrome (187781).

The spelling of 105280 in words is "one hundred five thousand, two hundred eighty".