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105430221 = 33131915809
BaseRepresentation
bin1100100100010…
…11110011001101
321100101102002000
412102023303031
5203442231341
614243422513
72420066511
oct622136315
9240342060
10105430221
1154570316
122b384a39
1318ac5360
1410006141
1593c88b6
hex648bccd

105430221 has 32 divisors (see below), whose sum is σ = 177072000. Its totient is φ = 61461504.

The previous prime is 105430211. The next prime is 105430223. The reversal of 105430221 is 122034501.

105430221 is a `hidden beast` number, since 10 + 5 + 430 + 221 = 666.

It is not a de Polignac number, because 105430221 - 25 = 105430189 is a prime.

It is a super-2 number, since 2×1054302212 = 22231063000217682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105430194 and 105430203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105430223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236 + ... + 14573.

It is an arithmetic number, because the mean of its divisors is an integer number (5533500).

Almost surely, 2105430221 is an apocalyptic number.

It is an amenable number.

105430221 is a deficient number, since it is larger than the sum of its proper divisors (71641779).

105430221 is a wasteful number, since it uses less digits than its factorization.

105430221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15850 (or 15844 counting only the distinct ones).

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

The square root of 105430221 is about 10267.9219416589. The cubic root of 105430221 is about 472.4128536685.

Adding to 105430221 its reverse (122034501), we get a palindrome (227464722).

The spelling of 105430221 in words is "one hundred five million, four hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 741 2223 6669 15809 47427 142281 205517 300371 426843 616551 901113 1849653 2703339 3904823 5548959 8110017 11714469 35143407 105430221