105028533 has 24 divisors (see below), whose sum is σ = 164982168. Its totient is φ = 64115712.

The previous prime is 105028529. The next prime is 105028541. The reversal of 105028533 is 335820501.

105028533 is a `hidden beast` number, since 105 + 0 + 28 + 533 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24621444 + 80407089 = 4962^2 + 8967^2 .

It is not a de Polignac number, because 105028533 - 2² = 105028529 is a prime.

It is a super-2 number, since 2×105028533² = 22061985488264178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105028497 and 105028506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105028513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3616 + ... + 14937.

It is an arithmetic number, because the mean of its divisors is an integer number (6874257).

Almost surely, 2^105028533 is an apocalyptic number.

It is an amenable number.

105028533 is a deficient number, since it is larger than the sum of its proper divisors (59953635).

105028533 is a wasteful number, since it uses less digits than its factorization.

105028533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18613 (or 18610 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105028533 is about 10248.3429392268. The cubic root of 105028533 is about 471.8121274828.

The spelling of 105028533 in words is "one hundred five million, twenty-eight thousand, five hundred thirty-three".