105052584 has 128 divisors (see below), whose sum is σ = 327075840. Its totient is φ = 27378432.

The previous prime is 105052547. The next prime is 105052601. The reversal of 105052584 is 485250501.

It is a super-2 number, since 2×105052584² = 22072090810154112, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 224719 + ... + 225185.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 2^105052584 is an apocalyptic number.

105052584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105052584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163537920).

105052584 is an abundant number, since it is smaller than the sum of its proper divisors (222023256).

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

105052584 is a wasteful number, since it uses less digits than its factorization.

105052584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 105052584 is about 10249.5162812691. The cubic root of 105052584 is about 471.8481389268.

The spelling of 105052584 in words is "one hundred five million, fifty-two thousand, five hundred eighty-four".