105453120300 has 144 divisors (see below), whose sum is σ = 336144985344. Its totient is φ = 25311200000.

The previous prime is 105453120299. The next prime is 105453120307. The reversal of 105453120300 is 3021354501.

It is a super-2 number, since 2×105453120300² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105453120307) 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, 175105 + ... + 491495.

It is an arithmetic number, because the mean of its divisors is an integer number (2334340176).

Almost surely, 2^105453120300 is an apocalyptic number.

105453120300 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 105453120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168072492672).

105453120300 is an abundant number, since it is smaller than the sum of its proper divisors (230691865044).

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

105453120300 is a wasteful number, since it uses less digits than its factorization.

105453120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316520 (or 316513 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 105453120300 its reverse (3021354501), we get a palindrome (108474474801).

The spelling of 105453120300 in words is "one hundred five billion, four hundred fifty-three million, one hundred twenty thousand, three hundred".