105586484 has 12 divisors (see below), whose sum is σ = 185715684. Its totient is φ = 52524864.

The previous prime is 105586483. The next prime is 105586489. The reversal of 105586484 is 484685501.

It can be written as a sum of positive squares in 2 ways, for example, as 81360400 + 24226084 = 9020^2 + 4922^2 .

It is a super-2 number, since 2×105586484² = 22297011206964512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105586483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66209 + ... + 67784.

It is an arithmetic number, because the mean of its divisors is an integer number (15476307).

Almost surely, 2^105586484 is an apocalyptic number.

It is an amenable number.

105586484 is a deficient number, since it is larger than the sum of its proper divisors (80129200).

105586484 is a wasteful number, since it uses less digits than its factorization.

105586484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134194 (or 134192 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 105586484 is about 10275.5284049045. The cubic root of 105586484 is about 472.6461334247.

The spelling of 105586484 in words is "one hundred five million, five hundred eighty-six thousand, four hundred eighty-four".