105720480 has 72 divisors (see below), whose sum is σ = 360776052. Its totient is φ = 28191744.

The previous prime is 105720479. The next prime is 105720487. The reversal of 105720480 is 84027501.

105720480 is a `hidden beast` number, since 10 + 572 + 0 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104775696 + 944784 = 10236^2 + 972^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105720480² = 22353639782860800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105720487) by changing a digit.

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, 35269 + ... + 38148.

Almost surely, 2^105720480 is an apocalyptic number.

105720480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105720480 is an abundant number, since it is smaller than the sum of its proper divisors (255055572).

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

105720480 is a wasteful number, since it uses less digits than its factorization.

105720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73438 (or 73427 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105720480 is about 10282.0464889048. The cubic root of 105720480 is about 472.8459882947.

Adding to 105720480 its reverse (84027501), we get a palindrome (189747981).

The spelling of 105720480 in words is "one hundred five million, seven hundred twenty thousand, four hundred eighty".