105535465112 has 128 divisors (see below), whose sum is σ = 265502292480. Its totient is φ = 38064384000.

The previous prime is 105535465093. The next prime is 105535465117. The reversal of 105535465112 is 211564535501.

105535465112 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-2 number, since 2×105535465112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535465117) 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 31 ways as a sum of consecutive naturals, for example, 556187 + ... + 721397.

It is an arithmetic number, because the mean of its divisors is an integer number (2074236660).

Almost surely, 2^105535465112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105535465112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132751146240).

105535465112 is an abundant number, since it is smaller than the sum of its proper divisors (159966827368).

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

105535465112 is a wasteful number, since it uses less digits than its factorization.

105535465112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165313 (or 165309 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 105535465112 in words is "one hundred five billion, five hundred thirty-five million, four hundred sixty-five thousand, one hundred twelve".