105505360 has 40 divisors (see below), whose sum is σ = 245850336. Its totient is φ = 42107520.

The previous prime is 105505339. The next prime is 105505391. The reversal of 105505360 is 63505501.

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

It is a super-2 number, since 2×105505360² = 22262761977459200, which contains 22 as substring.

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, 42555 + ... + 44965.

Almost surely, 2^105505360 is an apocalyptic number.

105505360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505360 is an abundant number, since it is smaller than the sum of its proper divisors (140344976).

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

105505360 is a wasteful number, since it uses less digits than its factorization.

105505360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 105505360 is about 10271.5802094907. The cubic root of 105505360 is about 472.5250548942.

The spelling of 105505360 in words is "one hundred five million, five hundred five thousand, three hundred sixty".