105506056060552 has 32 divisors (see below), whose sum is σ = 230894712357120. Its totient is φ = 44254819866240.

The previous prime is 105506056060547. The next prime is 105506056060571. The reversal of 105506056060552 is 255060650605501.

It is a super-3 number, since 3×105506056060552³ (a number of 43 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20042941149 + ... + 20042946412.

It is an arithmetic number, because the mean of its divisors is an integer number (7215459761160).

Almost surely, 2^{105506056060552} is an apocalyptic number.

It is an amenable number.

105506056060552 is an abundant number, since it is smaller than the sum of its proper divisors (125388656296568).

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

105506056060552 is a wasteful number, since it uses less digits than its factorization.

105506056060552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40085887621 (or 40085887617 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 46.

The spelling of 105506056060552 in words is "one hundred five trillion, five hundred six billion, fifty-six million, sixty thousand, five hundred fifty-two".