105045084 has 36 divisors (see below), whose sum is σ = 266808360. Its totient is φ = 34846560.

The previous prime is 105045067. The next prime is 105045107. The reversal of 105045084 is 480540501.

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

It is a super-2 number, since 2×105045084² = 22068939345134112, 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 682 + ... + 14510.

Almost surely, 2^105045084 is an apocalyptic number.

It is an amenable number.

105045084 is an abundant number, since it is smaller than the sum of its proper divisors (161763276).

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

105045084 is a wasteful number, since it uses less digits than its factorization.

105045084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14045 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105045084 is about 10249.1504038140. The cubic root of 105045084 is about 471.8369098035.

Adding to 105045084 its reverse (480540501), we get a palindrome (585585585).

The spelling of 105045084 in words is "one hundred five million, forty-five thousand, eighty-four".