105605610055606 has 8 divisors (see below), whose sum is σ = 158408597064960. Its totient is φ = 52802744367288.

The previous prime is 105605610055579. The next prime is 105605610055633. The reversal of 105605610055606 is 606550016506501.

It is an interprime number because it is at equal distance from previous prime (105605610055579) and next prime (105605610055633).

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

It is a super-3 number, since 3×105605610055606³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28121941 + ... + 31655248.

It is an arithmetic number, because the mean of its divisors is an integer number (19801074633120).

Almost surely, 2^{105605610055606} is an apocalyptic number.

105605610055606 is a deficient number, since it is larger than the sum of its proper divisors (52802987009354).

105605610055606 is an equidigital number, since it uses as much as digits as its factorization.

105605610055606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60660518.

The product of its (nonzero) digits is 810000, while the sum is 46.

The spelling of 105605610055606 in words is "one hundred five trillion, six hundred five billion, six hundred ten million, fifty-five thousand, six hundred six".