105304120320 has 528 divisors, whose sum is σ = 394472096928. Its totient is φ = 23905566720.

The previous prime is 105304120319. The next prime is 105304120321. The reversal of 105304120320 is 23021403501.

It is an interprime number because it is at equal distance from previous prime (105304120319) and next prime (105304120321).

It is a super-2 number, since 2×105304120320² (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 not an unprimeable number, because it can be changed into a prime (105304120321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136227454 + ... + 136228226.

Almost surely, 2^105304120320 is an apocalyptic number.

105304120320 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 105304120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197236048464).

105304120320 is an abundant number, since it is smaller than the sum of its proper divisors (289167976608).

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

105304120320 is a wasteful number, since it uses less digits than its factorization.

105304120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 105304120320 its reverse (23021403501), we get a palindrome (128325523821).

The spelling of 105304120320 in words is "one hundred five billion, three hundred four million, one hundred twenty thousand, three hundred twenty".