105600555055551 has 48 divisors (see below), whose sum is σ = 149189976686592. Its totient is φ = 66371197838400.

The previous prime is 105600555055547. The next prime is 105600555055577. The reversal of 105600555055551 is 155550555006501.

It is not a de Polignac number, because 105600555055551 - 2² = 105600555055547 is a prime.

It is a super-2 number, since 2×105600555055551² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105600555055551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105600555055511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65057821 + ... + 66661241.

It is an arithmetic number, because the mean of its divisors is an integer number (3108124514304).

Almost surely, 2^{105600555055551} is an apocalyptic number.

105600555055551 is a deficient number, since it is larger than the sum of its proper divisors (43589421631041).

105600555055551 is a wasteful number, since it uses less digits than its factorization.

105600555055551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603924 (or 1603881 counting only the distinct ones).

The product of its (nonzero) digits is 2343750, while the sum is 48.

The spelling of 105600555055551 in words is "one hundred five trillion, six hundred billion, five hundred fifty-five million, fifty-five thousand, five hundred fifty-one".