105330555 has 48 divisors (see below), whose sum is σ = 210903264. Its totient is φ = 48061440.

The previous prime is 105330493. The next prime is 105330571. The reversal of 105330555 is 555033501.

105330555 is a `hidden beast` number, since 105 + 3 + 3 + 0 + 555 = 666.

It is not a de Polignac number, because 105330555 - 2¹⁰ = 105329531 is a prime.

It is a super-2 number, since 2×105330555² = 22189051633216050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2157 + ... + 14673.

It is an arithmetic number, because the mean of its divisors is an integer number (4393818).

Almost surely, 2^105330555 is an apocalyptic number.

105330555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105330555 is an abundant number, since it is smaller than the sum of its proper divisors (105572709).

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

105330555 is a wasteful number, since it uses less digits than its factorization.

105330555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12556 (or 12553 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The square root of 105330555 is about 10263.0675238936. The cubic root of 105330555 is about 472.2639452459.

The spelling of 105330555 in words is "one hundred five million, three hundred thirty thousand, five hundred fifty-five".