Search a number
-
+
105306421 = 112870301
BaseRepresentation
bin1100100011011…
…01100100110101
321100011010020211
412101231210311
5203424301141
614241025421
72416042543
oct621554465
9240133224
10105306421
1154496300
122b325271
1318a80bbc
14ddb2d93
1593a1d81
hex646d935

105306421 has 6 divisors (see below), whose sum is σ = 115750166. Its totient is φ = 95733000.

The previous prime is 105306413. The next prime is 105306427. The reversal of 105306421 is 124603501.

It can be written as a sum of positive squares in only one way, i.e., 54967396 + 50339025 = 7414^2 + 7095^2 .

It is not a de Polignac number, because 105306421 - 23 = 105306413 is a prime.

It is a super-2 number, since 2×1053064212 = 22178884607658482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105306392 and 105306401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105306427) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 435030 + ... + 435271.

Almost surely, 2105306421 is an apocalyptic number.

105306421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105306421 is a deficient number, since it is larger than the sum of its proper divisors (10443745).

105306421 is an equidigital number, since it uses as much as digits as its factorization.

105306421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870323 (or 870312 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 105306421 is about 10261.8916872086. The cubic root of 105306421 is about 472.2278731278.

Adding to 105306421 its reverse (124603501), we get a palindrome (229909922).

The spelling of 105306421 in words is "one hundred five million, three hundred six thousand, four hundred twenty-one".

Divisors: 1 11 121 870301 9573311 105306421