105133710618112 has 240 divisors, whose sum is σ = 233099500677120. Its totient is φ = 47332979527680.

The previous prime is 105133710618071. The next prime is 105133710618149. The reversal of 105133710618112 is 211816017331501.

It is a super-2 number, since 2×105133710618112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4870221783 + ... + 4870243369.

It is an arithmetic number, because the mean of its divisors is an integer number (971247919488).

Almost surely, 2^{105133710618112} 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 105133710618112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116549750338560).

105133710618112 is an abundant number, since it is smaller than the sum of its proper divisors (127965790059008).

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

105133710618112 is a wasteful number, since it uses less digits than its factorization.

105133710618112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22373 (or 22346 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 40.

Adding to 105133710618112 its reverse (211816017331501), we get a palindrome (316949727949613).

The spelling of 105133710618112 in words is "one hundred five trillion, one hundred thirty-three billion, seven hundred ten million, six hundred eighteen thousand, one hundred twelve".