105550501500 has 144 divisors (see below), whose sum is σ = 336410788896. Its totient is φ = 27856512000.

The previous prime is 105550501457. The next prime is 105550501523. The reversal of 105550501500 is 5105055501.

105550501500 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 505 + 0 + 150 + 0 = 666.

It is a super-2 number, since 2×105550501500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315595 + ... + 557405.

It is an arithmetic number, because the mean of its divisors is an integer number (2336186034).

Almost surely, 2^105550501500 is an apocalyptic number.

105550501500 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 105550501500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168205394448).

105550501500 is an abundant number, since it is smaller than the sum of its proper divisors (230860287396).

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

105550501500 is a wasteful number, since it uses less digits than its factorization.

105550501500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241933 (or 241918 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 105550501500 in words is "one hundred five billion, five hundred fifty million, five hundred one thousand, five hundred".