105120434320 has 240 divisors, whose sum is σ = 286264177920. Its totient is φ = 35747205120.

The previous prime is 105120434317. The next prime is 105120434333. The reversal of 105120434320 is 23434021501.

It is a super-2 number, since 2×105120434320² (a number of 23 digits) contains 22 as substring.

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, 26821321 + ... + 26825239.

It is an arithmetic number, because the mean of its divisors is an integer number (1192767408).

Almost surely, 2^105120434320 is an apocalyptic number.

105120434320 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 105120434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143132088960).

105120434320 is an abundant number, since it is smaller than the sum of its proper divisors (181143743600).

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

105120434320 is a wasteful number, since it uses less digits than its factorization.

105120434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 105120434320 its reverse (23434021501), we get a palindrome (128554455821).

The spelling of 105120434320 in words is "one hundred five billion, one hundred twenty million, four hundred thirty-four thousand, three hundred twenty".