105606005506 has 16 divisors (see below), whose sum is σ = 158948713440. Its totient is φ = 52623315360.

The previous prime is 105606005429. The next prime is 105606005543. The reversal of 105606005506 is 605500606501.

It is a super-3 number, since 3×105606005506³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 948585 + ... + 1054051.

It is an arithmetic number, because the mean of its divisors is an integer number (9934294590).

Almost surely, 2^105606005506 is an apocalyptic number.

105606005506 is a deficient number, since it is larger than the sum of its proper divisors (53342707934).

105606005506 is a wasteful number, since it uses less digits than its factorization.

105606005506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107169.

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 105606005506 in words is "one hundred five billion, six hundred six million, five thousand, five hundred six".