105055501320 has 384 divisors, whose sum is σ = 426654708480. Its totient is φ = 21779712000.

The previous prime is 105055501283. The next prime is 105055501321. The reversal of 105055501320 is 23105550501.

105055501320 is a `hidden beast` number, since 105 + 0 + 5 + 550 + 1 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×105055501320² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105055501321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12774810 + ... + 12783030.

It is an arithmetic number, because the mean of its divisors is an integer number (1111079970).

Almost surely, 2^105055501320 is an apocalyptic number.

105055501320 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 105055501320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213327354240).

105055501320 is an abundant number, since it is smaller than the sum of its proper divisors (321599207160).

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

105055501320 is a wasteful number, since it uses less digits than its factorization.

105055501320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8717 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 105055501320 in words is "one hundred five billion, fifty-five million, five hundred one thousand, three hundred twenty".