Search a number
-
+
106104255165 = 3252357872337
BaseRepresentation
bin110001011010001001…
…1100111001010111101
3101010212120212122010100
41202310103213022331
53214300142131130
6120424342231313
710444235200536
oct1426423471275
9333776778110
10106104255165
1140aa90a4387
1218692125539
13a00c37ba4c
1451c7a4b68d
152b600b7c60
hex18b44e72bd

106104255165 has 12 divisors (see below), whose sum is σ = 183914042364. Its totient is φ = 56588936064.

The previous prime is 106104255163. The next prime is 106104255193. The reversal of 106104255165 is 561552401601.

106104255165 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 42 + 551 + 65 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73104262884 + 32999992281 = 270378^2 + 181659^2 .

It is not a de Polignac number, because 106104255165 - 21 = 106104255163 is a prime.

It is a super-2 number, since 2×1061042551652 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106104255163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1178936124 + ... + 1178936213.

It is an arithmetic number, because the mean of its divisors is an integer number (15326170197).

Almost surely, 2106104255165 is an apocalyptic number.

106104255165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106104255165 is a deficient number, since it is larger than the sum of its proper divisors (77809787199).

106104255165 is a wasteful number, since it uses less digits than its factorization.

106104255165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357872348 (or 2357872345 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 106104255165 its reverse (561552401601), we get a palindrome (667656656766).

The spelling of 106104255165 in words is "one hundred six billion, one hundred four million, two hundred fifty-five thousand, one hundred sixty-five".

Divisors: 1 3 5 9 15 45 2357872337 7073617011 11789361685 21220851033 35368085055 106104255165