105134301300 has 144 divisors (see below), whose sum is σ = 347805988992. Its totient is φ = 24019507200.

The previous prime is 105134301299. The next prime is 105134301319. The reversal of 105134301300 is 3103431501.

It is a super-2 number, since 2×105134301300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5014840 + ... + 5035760.

It is an arithmetic number, because the mean of its divisors is an integer number (2415319368).

Almost surely, 2^105134301300 is an apocalyptic number.

105134301300 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 105134301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173902994496).

105134301300 is an abundant number, since it is smaller than the sum of its proper divisors (242671687692).

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

105134301300 is a wasteful number, since it uses less digits than its factorization.

105134301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23338 (or 23331 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 105134301300 its reverse (3103431501), we get a palindrome (108237732801).

The spelling of 105134301300 in words is "one hundred five billion, one hundred thirty-four million, three hundred one thousand, three hundred".