105344031210 has 256 divisors, whose sum is σ = 293148979200. Its totient is φ = 23978240000.

The previous prime is 105344031197. The next prime is 105344031211. The reversal of 105344031210 is 12130443501.

It is a happy number.

It is a super-2 number, since 2×105344031210² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105344031211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 100422766 + ... + 100423814.

It is an arithmetic number, because the mean of its divisors is an integer number (1145113200).

Almost surely, 2^105344031210 is an apocalyptic number.

105344031210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105344031210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146574489600).

105344031210 is an abundant number, since it is smaller than the sum of its proper divisors (187804947990).

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

105344031210 is a wasteful number, since it uses less digits than its factorization.

105344031210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 105344031210 its reverse (12130443501), we get a palindrome (117474474711).

The spelling of 105344031210 in words is "one hundred five billion, three hundred forty-four million, thirty-one thousand, two hundred ten".