105321680 has 40 divisors (see below), whose sum is σ = 245985000. Its totient is φ = 41937408.

The previous prime is 105321679. The next prime is 105321701. The reversal of 105321680 is 86123501.

It can be written as a sum of positive squares in 4 ways, for example, as 6677056 + 98644624 = 2584^2 + 9932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105321680² = 22185312556044800, which contains 22 as substring.

It is a nialpdrome in base 14.

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 7 ways as a sum of consecutive naturals, for example, 15446 + ... + 21194.

It is an arithmetic number, because the mean of its divisors is an integer number (6149625).

Almost surely, 2^105321680 is an apocalyptic number.

105321680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105321680 is an abundant number, since it is smaller than the sum of its proper divisors (140663320).

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

105321680 is a wasteful number, since it uses less digits than its factorization.

105321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 105321680 is about 10262.6351391833. The cubic root of 105321680 is about 472.2506807814.

The spelling of 105321680 in words is "one hundred five million, three hundred twenty-one thousand, six hundred eighty".