105605506 has 16 divisors (see below), whose sum is σ = 163541664. Its totient is φ = 51113664.

The previous prime is 105605503. The next prime is 105605537. The reversal of 105605506 is 605506501.

It is a super-3 number, since 3×105605506³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105605503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4285 + ... + 15151.

It is an arithmetic number, because the mean of its divisors is an integer number (10221354).

Almost surely, 2^105605506 is an apocalyptic number.

105605506 is a deficient number, since it is larger than the sum of its proper divisors (57936158).

105605506 is a wasteful number, since it uses less digits than its factorization.

105605506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11025.

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 105605506 is about 10276.4539603893. The cubic root of 105605506 is about 472.6745150084.

The spelling of 105605506 in words is "one hundred five million, six hundred five thousand, five hundred six".