105505510055052 has 12 divisors (see below), whose sum is σ = 246179523461816. Its totient is φ = 35168503351680.

The previous prime is 105505510055039. The next prime is 105505510055111. The reversal of 105505510055052 is 250550015505501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×105505510055052³ (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 105505510055052.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4396062918949 + ... + 4396062918972.

Almost surely, 2^{105505510055052} is an apocalyptic number.

105505510055052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105505510055052 is an abundant number, since it is smaller than the sum of its proper divisors (140674013406764).

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

105505510055052 is a wasteful number, since it uses less digits than its factorization.

105505510055052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8792125837928 (or 8792125837926 counting only the distinct ones).

The product of its (nonzero) digits is 156250, while the sum is 39.

The spelling of 105505510055052 in words is "one hundred five trillion, five hundred five billion, five hundred ten million, fifty-five thousand, fifty-two".