105506005 has 16 divisors (see below), whose sum is σ = 139392000. Its totient is φ = 76023360.

The previous prime is 105506003. The next prime is 105506017. The reversal of 105506005 is 500605501.

It is not a de Polignac number, because 105506005 - 2¹ = 105506003 is a prime.

It is a super-2 number, since 2×105506005² = 22263034182120050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105506003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2805 + ... + 14794.

It is an arithmetic number, because the mean of its divisors is an integer number (8712000).

Almost surely, 2^105506005 is an apocalyptic number.

It is an amenable number.

105506005 is a deficient number, since it is larger than the sum of its proper divisors (33885995).

105506005 is a wasteful number, since it uses less digits than its factorization.

105506005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17724.

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 105506005 is about 10271.6116067538. The cubic root of 105506005 is about 472.5260178090.

The spelling of 105506005 in words is "one hundred five million, five hundred six thousand, five".