105334241012 has 144 divisors (see below), whose sum is σ = 252468252288. Its totient is φ = 37799758080.

The previous prime is 105334241009. The next prime is 105334241069. The reversal of 105334241012 is 210142433501.

It is a happy number.

It is a super-2 number, since 2×105334241012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13645778 + ... + 13653494.

It is an arithmetic number, because the mean of its divisors is an integer number (1753251752).

Almost surely, 2^105334241012 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 105334241012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126234126144).

105334241012 is an abundant number, since it is smaller than the sum of its proper divisors (147134011276).

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

105334241012 is a wasteful number, since it uses less digits than its factorization.

105334241012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 105334241012 its reverse (210142433501), we get a palindrome (315476674513).

The spelling of 105334241012 in words is "one hundred five billion, three hundred thirty-four million, two hundred forty-one thousand, twelve".