106005084 has 12 divisors (see below), whose sum is σ = 247345224. Its totient is φ = 35335024.

The previous prime is 106005079. The next prime is 106005101. The reversal of 106005084 is 480500601.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×106005084² = 22474155667694112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4416867 + ... + 4416890.

It is an arithmetic number, because the mean of its divisors is an integer number (20612102).

Almost surely, 2^106005084 is an apocalyptic number.

It is an amenable number.

106005084 is an abundant number, since it is smaller than the sum of its proper divisors (141340140).

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

106005084 is a wasteful number, since it uses less digits than its factorization.

106005084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8833764 (or 8833762 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106005084 is about 10295.8770388928. The cubic root of 106005084 is about 473.2699152400.

Adding to 106005084 its reverse (480500601), we get a palindrome (586505685).

The spelling of 106005084 in words is "one hundred six million, five thousand, eighty-four".