105033084 has 96 divisors (see below), whose sum is σ = 280283136. Its totient is φ = 30378240.

The previous prime is 105033037. The next prime is 105033101. The reversal of 105033084 is 480330501.

It is a super-2 number, since 2×105033084² = 22063897469102112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178639 + ... + 179225.

It is an arithmetic number, because the mean of its divisors is an integer number (2919616).

Almost surely, 2^105033084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105033084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140141568).

105033084 is an abundant number, since it is smaller than the sum of its proper divisors (175250052).

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

105033084 is a wasteful number, since it uses less digits than its factorization.

105033084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105033084 is about 10248.5649727169. The cubic root of 105033084 is about 471.8189420944.

Adding to 105033084 its reverse (480330501), we get a palindrome (585363585).

The spelling of 105033084 in words is "one hundred five million, thirty-three thousand, eighty-four".