105536022552 has 64 divisors (see below), whose sum is σ = 296687664000. Its totient is φ = 34754828832.

The previous prime is 105536022551. The next prime is 105536022569. The reversal of 105536022552 is 255220635501.

105536022552 is a `hidden beast` number, since 1 + 0 + 55 + 36 + 0 + 22 + 552 = 666.

105536022552 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 3×105536022552³ (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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105536022551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2925402 + ... + 2961257.

It is an arithmetic number, because the mean of its divisors is an integer number (4635744750).

Almost surely, 2^105536022552 is an apocalyptic number.

105536022552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105536022552 is an abundant number, since it is smaller than the sum of its proper divisors (191151641448).

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

105536022552 is a wasteful number, since it uses less digits than its factorization.

105536022552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886757 (or 5886747 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 105536022552 in words is "one hundred five billion, five hundred thirty-six million, twenty-two thousand, five hundred fifty-two".