105028209 has 48 divisors (see below), whose sum is σ = 180660480. Its totient is φ = 57957120.

The previous prime is 105028199. The next prime is 105028211. The reversal of 105028209 is 902820501.

It is not a de Polignac number, because 105028209 - 2⁵ = 105028177 is a prime.

It is a super-2 number, since 2×105028209² = 22061849371495362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105028229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101157 + ... + 102189.

It is an arithmetic number, because the mean of its divisors is an integer number (3763760).

Almost surely, 2^105028209 is an apocalyptic number.

It is an amenable number.

105028209 is a deficient number, since it is larger than the sum of its proper divisors (75632271).

105028209 is a wasteful number, since it uses less digits than its factorization.

105028209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 105028209 is about 10248.3271317811. The cubic root of 105028209 is about 471.8116423217.

The spelling of 105028209 in words is "one hundred five million, twenty-eight thousand, two hundred nine".