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105221041 = 179763809
BaseRepresentation
bin1100100010110…
…00101110110001
321022222210010121
412101120232301
5203414033131
614235130241
72415235612
oct621305661
9238883117
10105221041
1154438142
122b2a3981
1318a51093
14dd8dc09
159386911
hex6458bb1

105221041 has 8 divisors (see below), whose sum is σ = 112560840. Its totient is φ = 98009088.

The previous prime is 105221029. The next prime is 105221063. The reversal of 105221041 is 140122501.

It can be written as a sum of positive squares in 4 ways, for example, as 2624400 + 102596641 = 1620^2 + 10129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105221041 is a prime.

It is a super-2 number, since 2×1052210412 = 22142934938247362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105221071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30256 + ... + 33553.

It is an arithmetic number, because the mean of its divisors is an integer number (14070105).

Almost surely, 2105221041 is an apocalyptic number.

It is an amenable number.

105221041 is a deficient number, since it is larger than the sum of its proper divisors (7339799).

105221041 is an equidigital number, since it uses as much as digits as its factorization.

105221041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63923.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 105221041 is about 10257.7307919442. The cubic root of 105221041 is about 472.1002148241.

Adding to 105221041 its reverse (140122501), we get a palindrome (245343542).

The spelling of 105221041 in words is "one hundred five million, two hundred twenty-one thousand, forty-one".

Divisors: 1 17 97 1649 63809 1084753 6189473 105221041