105605551010 has 16 divisors (see below), whose sum is σ = 191348868672. Its totient is φ = 41962470000.

The previous prime is 105605550979. The next prime is 105605551067. The reversal of 105605551010 is 10155506501.

It is a happy number.

It is a super-3 number, since 3×105605551010³ (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34967216 + ... + 34970235.

It is an arithmetic number, because the mean of its divisors is an integer number (11959304292).

Almost surely, 2^105605551010 is an apocalyptic number.

105605551010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105605551010 is a deficient number, since it is larger than the sum of its proper divisors (85743317662).

105605551010 is a wasteful number, since it uses less digits than its factorization.

105605551010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69937609.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105605551010 in words is "one hundred five billion, six hundred five million, five hundred fifty-one thousand, ten".