105611000550 has 192 divisors, whose sum is σ = 288158342400. Its totient is φ = 25385817600.

The previous prime is 105611000507. The next prime is 105611000557. The reversal of 105611000550 is 55000116501.

It is a super-2 number, since 2×105611000550² (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 105611000550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105611000557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122946021 + ... + 122946879.

It is an arithmetic number, because the mean of its divisors is an integer number (1500824700).

Almost surely, 2^105611000550 is an apocalyptic number.

105611000550 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 105611000550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144079171200).

105611000550 is an abundant number, since it is smaller than the sum of its proper divisors (182547341850).

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

105611000550 is a wasteful number, since it uses less digits than its factorization.

105611000550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105611000550 in words is "one hundred five billion, six hundred eleven million, five hundred fifty", and thus it is an aban number.