105060084 has 24 divisors (see below), whose sum is σ = 246079680. Its totient is φ = 34885824.

The previous prime is 105060077. The next prime is 105060097. The reversal of 105060084 is 480060501.

It is a super-3 number, since 3×105060084³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13489 + ... + 19800.

It is an arithmetic number, because the mean of its divisors is an integer number (10253320).

Almost surely, 2^105060084 is an apocalyptic number.

It is an amenable number.

105060084 is an abundant number, since it is smaller than the sum of its proper divisors (141019596).

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

105060084 is a wasteful number, since it uses less digits than its factorization.

105060084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33559 (or 33557 counting only the distinct ones).

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

The square root of 105060084 is about 10249.8821456639. The cubic root of 105060084 is about 471.8593675157.

The spelling of 105060084 in words is "one hundred five million, sixty thousand, eighty-four".