105550552000 has 224 divisors, whose sum is σ = 283224427200. Its totient is φ = 38810419200.

The previous prime is 105550551943. The next prime is 105550552021. The reversal of 105550552000 is 255055501.

It is a happy number.

It is a super-2 number, since 2×105550552000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105550552000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5838976 + ... + 5857024.

Almost surely, 2^105550552000 is an apocalyptic number.

105550552000 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 105550552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141612213600).

105550552000 is an abundant number, since it is smaller than the sum of its proper divisors (177673875200).

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

105550552000 is a wasteful number, since it uses less digits than its factorization.

105550552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18136 (or 18116 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 28.

The spelling of 105550552000 in words is "one hundred five billion, five hundred fifty million, five hundred fifty-two thousand".