Search a number
-
+
105139359 = 32131675381
BaseRepresentation
bin1100100010001…
…00110010011111
321022211122002100
412101010302133
5203403424414
614233300143
72414445513
oct621046237
9238748070
10105139359
1154391836
122b264653
1318a22b50
14dd6c143
15936c609
hex6444c9f

105139359 has 24 divisors (see below), whose sum is σ = 164560032. Its totient is φ = 64301760.

The previous prime is 105139351. The next prime is 105139399. The reversal of 105139359 is 953931501.

105139359 is a `hidden beast` number, since 1 + 0 + 513 + 93 + 59 = 666.

It is not a de Polignac number, because 105139359 - 23 = 105139351 is a prime.

It is a super-2 number, since 2×1051393592 = 22108569621861762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105139351) 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 23 ways as a sum of consecutive naturals, for example, 16849 + ... + 22229.

It is an arithmetic number, because the mean of its divisors is an integer number (6856668).

Almost surely, 2105139359 is an apocalyptic number.

105139359 is a deficient number, since it is larger than the sum of its proper divisors (59420673).

105139359 is a wasteful number, since it uses less digits than its factorization.

105139359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

The square root of 105139359 is about 10253.7485340728. The cubic root of 105139359 is about 471.9780210368.

The spelling of 105139359 in words is "one hundred five million, one hundred thirty-nine thousand, three hundred fifty-nine".

Divisors: 1 3 9 13 39 117 167 501 1503 2171 5381 6513 16143 19539 48429 69953 209859 629577 898627 2695881 8087643 11682151 35046453 105139359