106005111084 has 36 divisors (see below), whose sum is σ = 268871921136. Its totient is φ = 35214436128.

The previous prime is 106005111061. The next prime is 106005111119. The reversal of 106005111084 is 480111500601.

106005111084 is a `hidden beast` number, since 1 + 0 + 60 + 0 + 511 + 10 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106005111084² (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 11 ways as a sum of consecutive naturals, for example, 5014344 + ... + 5035439.

It is an arithmetic number, because the mean of its divisors is an integer number (7468664476).

Almost surely, 2^106005111084 is an apocalyptic number.

It is an amenable number.

106005111084 is an abundant number, since it is smaller than the sum of its proper divisors (162866810052).

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

106005111084 is a wasteful number, since it uses less digits than its factorization.

106005111084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050086 (or 10050081 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 106005111084 its reverse (480111500601), we get a palindrome (586116611685).

The spelling of 106005111084 in words is "one hundred six billion, five million, one hundred eleven thousand, eighty-four".