Search a number
-
+
106727875609 = 19163235714621
BaseRepresentation
bin110001101100101111…
…0100010010000011001
3101012111001022211112211
41203121132202100121
53222034314004414
6121010300435121
710465546655125
oct1433136422031
9335431284484
10106727875609
1141299115683
1218826b48aa1
13a0ab627924
1452467c2585
152b99bee3c4
hex18d97a2419

106727875609 has 16 divisors (see below), whose sum is σ = 113090057280. Its totient is φ = 100440803520.

The previous prime is 106727875547. The next prime is 106727875613. The reversal of 106727875609 is 906578727601.

It is not a de Polignac number, because 106727875609 - 27 = 106727875481 is a prime.

It is a super-2 number, since 2×1067278756092 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106727875109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7292319 + ... + 7306939.

It is an arithmetic number, because the mean of its divisors is an integer number (7068128580).

Almost surely, 2106727875609 is an apocalyptic number.

106727875609 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106727875609 is a deficient number, since it is larger than the sum of its proper divisors (6362181671).

106727875609 is a wasteful number, since it uses less digits than its factorization.

106727875609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17160.

The product of its (nonzero) digits is 8890560, while the sum is 58.

The spelling of 106727875609 in words is "one hundred six billion, seven hundred twenty-seven million, eight hundred seventy-five thousand, six hundred nine".

Divisors: 1 19 163 2357 3097 14621 44783 277799 384191 2383223 7299629 34461697 45281237 654772243 5617256611 106727875609