105600500550 has 192 divisors, whose sum is σ = 309682232640. Its totient is φ = 26367989760.

The previous prime is 105600500549. The next prime is 105600500557. The reversal of 105600500550 is 55005006501.

105600500550 is a `hidden beast` number, since 1 + 0 + 5 + 60 + 0 + 50 + 0 + 550 = 666.

It is a super-2 number, since 2×105600500550² (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 a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105600500557) 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 95 ways as a sum of consecutive naturals, for example, 4509472 + ... + 4532828.

It is an arithmetic number, because the mean of its divisors is an integer number (1612928295).

Almost surely, 2^105600500550 is an apocalyptic number.

105600500550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105600500550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154841116320).

105600500550 is an abundant number, since it is smaller than the sum of its proper divisors (204081732090).

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

105600500550 is a wasteful number, since it uses less digits than its factorization.

105600500550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23592 (or 23581 counting only the distinct ones).

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

The spelling of 105600500550 in words is "one hundred five billion, six hundred million, five hundred thousand, five hundred fifty".