105611051101000 has 64 divisors (see below), whose sum is σ = 247169433962880. Its totient is φ = 42237655588800.

The previous prime is 105611051100949. The next prime is 105611051101001. The reversal of 105611051101000 is 101150116501.

It is a super-2 number, since 2×105611051101000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105611051101001) 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 15 ways as a sum of consecutive naturals, for example, 2205942 + ... + 14699941.

It is an arithmetic number, because the mean of its divisors is an integer number (3862022405670).

Almost surely, 2^{105611051101000} is an apocalyptic number.

105611051101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105611051101000 is an abundant number, since it is smaller than the sum of its proper divisors (141558382861880).

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

105611051101000 is a wasteful number, since it uses less digits than its factorization.

105611051101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16912151 (or 16912137 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 22.

The spelling of 105611051101000 in words is "one hundred five trillion, six hundred eleven billion, fifty-one million, one hundred one thousand".