106011320000 has 560 divisors, whose sum is σ = 296170795008. Its totient is φ = 37447680000.

The previous prime is 106011319979. The next prime is 106011320057. The reversal of 106011320000 is 23110601.

It is a super-2 number, since 2×106011320000² (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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 990759947 + ... + 990760053.

Almost surely, 2^106011320000 is an apocalyptic number.

106011320000 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 106011320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148085397504).

106011320000 is an abundant number, since it is smaller than the sum of its proper divisors (190159475008).

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

106011320000 is a wasteful number, since it uses less digits than its factorization.

106011320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 106011320000 its reverse (23110601), we get a palindrome (106034430601).

The spelling of 106011320000 in words is "one hundred six billion, eleven million, three hundred twenty thousand".