105141304112 has 80 divisors (see below), whose sum is σ = 232138475520. Its totient is φ = 45731692800.

The previous prime is 105141304097. The next prime is 105141304133. The reversal of 105141304112 is 211403141501.

It is a super-2 number, since 2×105141304112² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685187 + ... + 824477.

It is an arithmetic number, because the mean of its divisors is an integer number (2901730944).

Almost surely, 2^105141304112 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 105141304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116069237760).

105141304112 is an abundant number, since it is smaller than the sum of its proper divisors (126997171408).

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

105141304112 is a wasteful number, since it uses less digits than its factorization.

105141304112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139522 (or 139516 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 105141304112 its reverse (211403141501), we get a palindrome (316544445613).

The spelling of 105141304112 in words is "one hundred five billion, one hundred forty-one million, three hundred four thousand, one hundred twelve".