Search a number
-
+
105000217 = 715000031
BaseRepresentation
bin1100100001000…
…10110100011001
321022120120012221
412100202310121
5203340001332
614230304041
72413326040
oct620426431
9238516187
10105000217
11542a7243
122b1b8021
13189a470a
14dd33557
159341297
hex6422d19

105000217 has 4 divisors (see below), whose sum is σ = 120000256. Its totient is φ = 90000180.

The previous prime is 105000197. The next prime is 105000239. The reversal of 105000217 is 712000501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105000217 - 223 = 96611609 is a prime.

It is a super-2 number, since 2×1050002172 = 22050091140094178, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105000217.

It is not an unprimeable number, because it can be changed into a prime (105004217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7500009 + ... + 7500022.

It is an arithmetic number, because the mean of its divisors is an integer number (30000064).

Almost surely, 2105000217 is an apocalyptic number.

It is an amenable number.

105000217 is a deficient number, since it is larger than the sum of its proper divisors (15000039).

105000217 is an equidigital number, since it uses as much as digits as its factorization.

105000217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15000038.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 105000217 is about 10246.9613544699. The cubic root of 105000217 is about 471.7697230281.

Adding to 105000217 its reverse (712000501), we get a palindrome (817000718).

The spelling of 105000217 in words is "one hundred five million, two hundred seventeen", and thus it is an aban number.

Divisors: 1 7 15000031 105000217