105533217 has 12 divisors (see below), whose sum is σ = 152570964. Its totient is φ = 70293600.

The previous prime is 105533191. The next prime is 105533227. The reversal of 105533217 is 712335501.

105533217 is a `hidden beast` number, since 105 + 533 + 21 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15492096 + 90041121 = 3936^2 + 9489^2 .

It is not a de Polignac number, because 105533217 - 2¹¹ = 105531169 is a prime.

It is a super-2 number, since 2×105533217² = 22274519780738178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105533227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7203 + ... + 16215.

It is an arithmetic number, because the mean of its divisors is an integer number (12714247).

Almost surely, 2^105533217 is an apocalyptic number.

It is an amenable number.

105533217 is a deficient number, since it is larger than the sum of its proper divisors (47037747).

105533217 is a wasteful number, since it uses less digits than its factorization.

105533217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10320 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 105533217 is about 10272.9361430898. The cubic root of 105533217 is about 472.5666387913.

Adding to 105533217 its reverse (712335501), we get a palindrome (817868718).

The spelling of 105533217 in words is "one hundred five million, five hundred thirty-three thousand, two hundred seventeen".