105055503120 has 200 divisors, whose sum is σ = 365059563264. Its totient is φ = 28000505088.

The previous prime is 105055503103. The next prime is 105055503127. The reversal of 105055503120 is 21305550501.

105055503120 is a `hidden beast` number, since 10 + 50 + 5 + 550 + 31 + 20 = 666.

It is a super-2 number, since 2×105055503120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105055503127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20649217 + ... + 20654303.

Almost surely, 2^105055503120 is an apocalyptic number.

105055503120 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 105055503120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182529781632).

105055503120 is an abundant number, since it is smaller than the sum of its proper divisors (260004060144).

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

105055503120 is a wasteful number, since it uses less digits than its factorization.

105055503120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8299 (or 8284 counting only the distinct ones).

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

The spelling of 105055503120 in words is "one hundred five billion, fifty-five million, five hundred three thousand, one hundred twenty".