105984080 has 30 divisors (see below), whose sum is σ = 246627258. Its totient is φ = 42356800.

The previous prime is 105984077. The next prime is 105984089. The reversal of 105984080 is 80489501.

It can be written as a sum of positive squares in only one way, i.e., 84787264 + 21196816 = 9208^2 + 4604^2 .

It is a super-2 number, since 2×105984080² = 22465250426892800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105984080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105984089) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91505 + ... + 92655.

Almost surely, 2^105984080 is an apocalyptic number.

105984080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105984080 is an abundant number, since it is smaller than the sum of its proper divisors (140643178).

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

105984080 is an frugal number, since it uses more digits than its factorization.

105984080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 105984080 is about 10294.8569684090. The cubic root of 105984080 is about 473.2386550477.

Multiplying 105984080 by its product of nonzero digits (11520), we get a square (1220936601600 = 1104960²).

The spelling of 105984080 in words is "one hundred five million, nine hundred eighty-four thousand, eighty".