105083280 has 60 divisors (see below), whose sum is σ = 352907100. Its totient is φ = 28022016.

The previous prime is 105083227. The next prime is 105083311. The reversal of 105083280 is 82380501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 82955664 + 22127616 = 9108^2 + 4704^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×105083280² = 22084991471116800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 72255 + ... + 73694.

It is an arithmetic number, because the mean of its divisors is an integer number (5881785).

Almost surely, 2^105083280 is an apocalyptic number.

105083280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105083280 is an abundant number, since it is smaller than the sum of its proper divisors (247823820).

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

105083280 is a wasteful number, since it uses less digits than its factorization.

105083280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145968 (or 145959 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 105083280 is about 10251.0136084194. The cubic root of 105083280 is about 471.8940919135.

The spelling of 105083280 in words is "one hundred five million, eighty-three thousand, two hundred eighty".