105536413314 has 96 divisors (see below), whose sum is σ = 240432192000. Its totient is φ = 33411111552.

The previous prime is 105536413313. The next prime is 105536413327. The reversal of 105536413314 is 413314635501.

105536413314 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 641 + 3 + 3 + 1 + 4 = 666.

It is a super-2 number, since 2×105536413314² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105536413313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11418307 + ... + 11427545.

It is an arithmetic number, because the mean of its divisors is an integer number (2504502000).

Almost surely, 2^105536413314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105536413314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120216096000).

105536413314 is an abundant number, since it is smaller than the sum of its proper divisors (134895778686).

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

105536413314 is a wasteful number, since it uses less digits than its factorization.

105536413314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9632 (or 9629 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 105536413314 in words is "one hundred five billion, five hundred thirty-six million, four hundred thirteen thousand, three hundred fourteen".