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105304121 = 1364112637
BaseRepresentation
bin1100100011011…
…01000000111001
321100011000002122
412101231000321
5203424212441
614241011025
72416033046
oct621550071
9240130078
10105304121
11544945aa
122b323a75
1318a7cb40
14ddb21cd
1593a134b
hex646d039

105304121 has 8 divisors (see below), whose sum is σ = 113590344. Its totient is φ = 97044480.

The previous prime is 105304093. The next prime is 105304127. The reversal of 105304121 is 121403501.

It can be written as a sum of positive squares in 4 ways, for example, as 4020025 + 101284096 = 2005^2 + 10064^2 .

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

It is not a de Polignac number, because 105304121 - 210 = 105303097 is a prime.

It is a super-2 number, since 2×1053041212 = 22177915799165282, 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 105304121.

It is not an unprimeable number, because it can be changed into a prime (105304127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2015 + ... + 14651.

It is an arithmetic number, because the mean of its divisors is an integer number (14198793).

Almost surely, 2105304121 is an apocalyptic number.

It is an amenable number.

105304121 is a deficient number, since it is larger than the sum of its proper divisors (8286223).

105304121 is a wasteful number, since it uses less digits than its factorization.

105304121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13291.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105304121 is about 10261.7796214887. The cubic root of 105304121 is about 472.2244351228.

Adding to 105304121 its reverse (121403501), we get a palindrome (226707622).

The spelling of 105304121 in words is "one hundred five million, three hundred four thousand, one hundred twenty-one".

Divisors: 1 13 641 8333 12637 164281 8100317 105304121