105606055550 has 36 divisors (see below), whose sum is σ = 207309695616. Its totient is φ = 40019130000.

The previous prime is 105606055469. The next prime is 105606055571. The reversal of 105606055550 is 55550606501.

105606055550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×105606055550³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2907326 + ... + 2943425.

It is an arithmetic number, because the mean of its divisors is an integer number (5758602656).

Almost surely, 2^105606055550 is an apocalyptic number.

105606055550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105606055550 is a deficient number, since it is larger than the sum of its proper divisors (101703640066).

105606055550 is a wasteful number, since it uses less digits than its factorization.

105606055550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850801 (or 5850777 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 38.

The spelling of 105606055550 in words is "one hundred five billion, six hundred six million, fifty-five thousand, five hundred fifty".