105354241300 has 144 divisors (see below), whose sum is σ = 287855326080. Its totient is φ = 32512320000.

The previous prime is 105354241271. The next prime is 105354241309. The reversal of 105354241300 is 3142453501.

It is a super-2 number, since 2×105354241300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105354241309) 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, 709966 + ... + 845434.

It is an arithmetic number, because the mean of its divisors is an integer number (1998995320).

Almost surely, 2^105354241300 is an apocalyptic number.

105354241300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105354241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143927663040).

105354241300 is an abundant number, since it is smaller than the sum of its proper divisors (182501084780).

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

105354241300 is a wasteful number, since it uses less digits than its factorization.

105354241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135602 (or 135595 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 105354241300 its reverse (3142453501), we get a palindrome (108496694801).

The spelling of 105354241300 in words is "one hundred five billion, three hundred fifty-four million, two hundred forty-one thousand, three hundred".