105287280 has 160 divisors (see below), whose sum is σ = 380928000. Its totient is φ = 24046848.

The previous prime is 105287279. The next prime is 105287323. The reversal of 105287280 is 82782501.

It is a super-2 number, since 2×105287280² = 22170822659596800, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81681 + ... + 82959.

It is an arithmetic number, because the mean of its divisors is an integer number (2380800).

Almost surely, 2^105287280 is an apocalyptic number.

105287280 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 105287280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190464000).

105287280 is an abundant number, since it is smaller than the sum of its proper divisors (275640720).

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

105287280 is a wasteful number, since it uses less digits than its factorization.

105287280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 105287280 is about 10260.9590195069. The cubic root of 105287280 is about 472.1992599266.

The spelling of 105287280 in words is "one hundred five million, two hundred eighty-seven thousand, two hundred eighty".