105605550551010 has 64 divisors (see below), whose sum is σ = 263218444296192. Its totient is φ = 27096016280256.

The previous prime is 105605550550999. The next prime is 105605550551087. The reversal of 105605550551010 is 10155055506501.

It is a super-3 number, since 3×105605550551010³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105605550551010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610844674 + ... + 611017533.

It is an arithmetic number, because the mean of its divisors is an integer number (4112788192128).

Almost surely, 2^{105605550551010} is an apocalyptic number.

105605550551010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105605550551010 is an abundant number, since it is smaller than the sum of its proper divisors (157612893745182).

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

105605550551010 is a wasteful number, since it uses less digits than its factorization.

105605550551010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221862327.

The product of its (nonzero) digits is 93750, while the sum is 39.

The spelling of 105605550551010 in words is "one hundred five trillion, six hundred five billion, five hundred fifty million, five hundred fifty-one thousand, ten".