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105302421 = 3272238781
BaseRepresentation
bin1100100011011…
…00100110010101
321100010220202200
412101230212111
5203424134141
614240555113
72416025100
oct621544625
9240126680
10105302421
11544932a4
122b322a99
1318a7c133
14ddb1737
1593a0ab6
hex646c995

105302421 has 18 divisors (see below), whose sum is σ = 176937462. Its totient is φ = 60172560.

The previous prime is 105302411. The next prime is 105302489. The reversal of 105302421 is 124203501.

It can be written as a sum of positive squares in only one way, i.e., 54022500 + 51279921 = 7350^2 + 7161^2 .

It is not a de Polignac number, because 105302421 - 26 = 105302357 is a prime.

It is a super-2 number, since 2×1053024212 = 22177199736922482, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105302394 and 105302403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105302411) 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 17 ways as a sum of consecutive naturals, for example, 118950 + ... + 119831.

It is an arithmetic number, because the mean of its divisors is an integer number (9829859).

Almost surely, 2105302421 is an apocalyptic number.

It is an amenable number.

105302421 is a deficient number, since it is larger than the sum of its proper divisors (71635041).

105302421 is a wasteful number, since it uses less digits than its factorization.

105302421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238801 (or 238791 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105302421 is about 10261.6967895178. The cubic root of 105302421 is about 472.2218939565.

Adding to 105302421 its reverse (124203501), we get a palindrome (229505922).

The spelling of 105302421 in words is "one hundred five million, three hundred two thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 238781 716343 1671467 2149029 5014401 11700269 15043203 35100807 105302421