106005511101000 has 256 divisors, whose sum is σ = 378224261775360. Its totient is φ = 24214517241600.

The previous prime is 106005511100939. The next prime is 106005511101001. The reversal of 106005511101000 is 101115500601.

It is a happy number.

It is a super-3 number, since 3×106005511101000³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (106005511101001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31648597 + ... + 34837403.

It is an arithmetic number, because the mean of its divisors is an integer number (1477438522560).

Almost surely, 2^{106005511101000} is an apocalyptic number.

106005511101000 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 106005511101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189112130887680).

106005511101000 is an abundant number, since it is smaller than the sum of its proper divisors (272218750674360).

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

106005511101000 is a wasteful number, since it uses less digits than its factorization.

106005511101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190421 (or 3190407 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 106005511101000 its reverse (101115500601), we get a palindrome (106106626601601).

The spelling of 106005511101000 in words is "one hundred six trillion, five billion, five hundred eleven million, one hundred one thousand".