105305121400 has 96 divisors (see below), whose sum is σ = 252869529600. Its totient is φ = 40741142400.

The previous prime is 105305121367. The next prime is 105305121403. The reversal of 105305121400 is 4121503501.

It is a happy number.

It is a super-2 number, since 2×105305121400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105305121403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15763261 + ... + 15769939.

It is an arithmetic number, because the mean of its divisors is an integer number (2634057600).

Almost surely, 2^105305121400 is an apocalyptic number.

105305121400 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 105305121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126434764800).

105305121400 is an abundant number, since it is smaller than the sum of its proper divisors (147564408200).

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

105305121400 is a wasteful number, since it uses less digits than its factorization.

105305121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9269 (or 9260 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 105305121400 its reverse (4121503501), we get a palindrome (109426624901).

The spelling of 105305121400 in words is "one hundred five billion, three hundred five million, one hundred twenty-one thousand, four hundred".