105286880 has 24 divisors (see below), whose sum is σ = 248740632. Its totient is φ = 42114688.

The previous prime is 105286877. The next prime is 105286891. The reversal of 105286880 is 88682501.

It is a super-2 number, since 2×105286880² = 22170654200268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328862 + ... + 329181.

It is an arithmetic number, because the mean of its divisors is an integer number (10364193).

Almost surely, 2^105286880 is an apocalyptic number.

105286880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105286880 is an abundant number, since it is smaller than the sum of its proper divisors (143453752).

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

105286880 is an equidigital number, since it uses as much as digits as its factorization.

105286880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658058 (or 658050 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The square root of 105286880 is about 10260.9395281329. The cubic root of 105286880 is about 472.1986619439.

The spelling of 105286880 in words is "one hundred five million, two hundred eighty-six thousand, eight hundred eighty".