105606100506 has 16 divisors (see below), whose sum is σ = 212213209248. Its totient is φ = 35035198800.

The previous prime is 105606100487. The next prime is 105606100507. The reversal of 105606100506 is 605001606501.

It is a super-3 number, since 3×105606100506³ (a number of 34 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 (105606100507) 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, 41707305 + ... + 41709836.

It is an arithmetic number, because the mean of its divisors is an integer number (13263325578).

Almost surely, 2^105606100506 is an apocalyptic number.

105606100506 is an abundant number, since it is smaller than the sum of its proper divisors (106607108742).

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

105606100506 is a wasteful number, since it uses less digits than its factorization.

105606100506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83417357.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 105606100506 in words is "one hundred five billion, six hundred six million, one hundred thousand, five hundred six".