105643110546144 has 72 divisors (see below), whose sum is σ = 300971814703560. Its totient is φ = 35149992853248.

The previous prime is 105643110546121. The next prime is 105643110546199. The reversal of 105643110546144 is 441645011346501.

105643110546144 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 43 + 1 + 105 + 461 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105643110546144² (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 105643110546144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335140779 + ... + 335455850.

It is an arithmetic number, because the mean of its divisors is an integer number (4180164093105).

Almost surely, 2^{105643110546144} is an apocalyptic number.

It is an amenable number.

105643110546144 is an abundant number, since it is smaller than the sum of its proper divisors (195328704157416).

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

105643110546144 is a wasteful number, since it uses less digits than its factorization.

105643110546144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670597192 (or 670597181 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 105643110546144 in words is "one hundred five trillion, six hundred forty-three billion, one hundred ten million, five hundred forty-six thousand, one hundred forty-four".