105484480 has 28 divisors (see below), whose sum is σ = 251185680. Its totient is φ = 42193664.

The previous prime is 105484471. The next prime is 105484481. The reversal of 105484480 is 84484501.

It is a super-2 number, since 2×105484480² = 22253951041740800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105484481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164500 + ... + 165139.

Almost surely, 2^105484480 is an apocalyptic number.

105484480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105484480 is an abundant number, since it is smaller than the sum of its proper divisors (145701200).

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

105484480 is an equidigital number, since it uses as much as digits as its factorization.

105484480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329656 (or 329646 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 105484480 is about 10270.5637625205. The cubic root of 105484480 is about 472.4938812044.

The spelling of 105484480 in words is "one hundred five million, four hundred eighty-four thousand, four hundred eighty".