105506067 has 8 divisors (see below), whose sum is σ = 140764624. Its totient is φ = 70292448.

The previous prime is 105506059. The next prime is 105506087. The reversal of 105506067 is 760605501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105506067 - 2³ = 105506059 is a prime.

It is a super-3 number, since 3×105506067³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105506017) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5308 + ... + 15465.

It is an arithmetic number, because the mean of its divisors is an integer number (17595578).

Almost surely, 2^105506067 is an apocalyptic number.

105506067 is a deficient number, since it is larger than the sum of its proper divisors (35258557).

105506067 is a wasteful number, since it uses less digits than its factorization.

105506067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22469.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 105506067 is about 10271.6146247803. The cubic root of 105506067 is about 472.5261103681.

The spelling of 105506067 in words is "one hundred five million, five hundred six thousand, sixty-seven".