105529280480 has 96 divisors (see below), whose sum is σ = 274203667584. Its totient is φ = 38135586816.

The previous prime is 105529280477. The next prime is 105529280491. The reversal of 105529280480 is 84082925501.

It is a super-3 number, since 3×105529280480³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 441977 + ... + 637496.

It is an arithmetic number, because the mean of its divisors is an integer number (2856288204).

Almost surely, 2^105529280480 is an apocalyptic number.

105529280480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105529280480 is an abundant number, since it is smaller than the sum of its proper divisors (168674387104).

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

105529280480 is a wasteful number, since it uses less digits than its factorization.

105529280480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079548 (or 1079540 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 105529280480 in words is "one hundred five billion, five hundred twenty-nine million, two hundred eighty thousand, four hundred eighty".