105025244320 has 96 divisors (see below), whose sum is σ = 252085091328. Its totient is φ = 41340423168.

The previous prime is 105025244267. The next prime is 105025244339. The reversal of 105025244320 is 23442520501.

It is a super-2 number, since 2×105025244320² (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 15 ways as a sum of consecutive naturals, for example, 11648134 + ... + 11657146.

It is an arithmetic number, because the mean of its divisors is an integer number (2625886368).

Almost surely, 2^105025244320 is an apocalyptic number.

105025244320 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 105025244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126042545664).

105025244320 is an abundant number, since it is smaller than the sum of its proper divisors (147059847008).

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

105025244320 is a wasteful number, since it uses less digits than its factorization.

105025244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10182 (or 10174 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 105025244320 its reverse (23442520501), we get a palindrome (128467764821).

The spelling of 105025244320 in words is "one hundred five billion, twenty-five million, two hundred forty-four thousand, three hundred twenty".