Search a number
-
+
105216669 = 3229213901
BaseRepresentation
bin1100100010101…
…11101010011101
321022222120010200
412101113222131
5203413413134
614235054113
72415220065
oct621275235
9238876120
10105216669
1154434928
122b2a1339
1318a4c0ac
14dd8c3a5
159385499
hex6457a9d

105216669 has 18 divisors (see below), whose sum is σ = 157412346. Its totient is φ = 67720800.

The previous prime is 105216659. The next prime is 105216677. The reversal of 105216669 is 966612501.

It can be written as a sum of positive squares in 3 ways, for example, as 32319225 + 72897444 = 5685^2 + 8538^2 .

It is not a de Polignac number, because 105216669 - 25 = 105216637 is a prime.

It is a super-2 number, since 2×1052166692 = 22141094870911122, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105216659) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 619 + ... + 14519.

Almost surely, 2105216669 is an apocalyptic number.

It is an amenable number.

105216669 is a deficient number, since it is larger than the sum of its proper divisors (52195677).

105216669 is a wasteful number, since it uses less digits than its factorization.

105216669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13965 (or 13933 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 105216669 is about 10257.5176821685. The cubic root of 105216669 is about 472.0936760472.

The spelling of 105216669 in words is "one hundred five million, two hundred sixteen thousand, six hundred sixty-nine".

Divisors: 1 3 9 29 87 261 841 2523 7569 13901 41703 125109 403129 1209387 3628161 11690741 35072223 105216669