105611000000 has 196 divisors, whose sum is σ = 285805872888. Its totient is φ = 38400000000.

The previous prime is 105610999969. The next prime is 105611000029. The reversal of 105611000000 is 116501.

It is a super-2 number, since 2×105611000000² (a number of 23 digits) contains 22 as substring.

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 27 ways as a sum of consecutive naturals, for example, 10995200 + ... + 11004800.

Almost surely, 2^105611000000 is an apocalyptic number.

105611000000 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 105611000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142902936444).

105611000000 is an abundant number, since it is smaller than the sum of its proper divisors (180194872888).

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

105611000000 is an frugal number, since it uses more digits than its factorization.

105611000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9619 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 105611000000 its reverse (116501), we get a palindrome (105611116501).

The spelling of 105611000000 in words is "one hundred five billion, six hundred eleven million", and thus it is an aban number.