Search a number
-
+
106875306 = 23271241347
BaseRepresentation
bin1100101111011…
…00100110101010
321110002211100200
412113230212222
5204330002211
614334413030
72435265546
oct627544652
9243084320
10106875306
1155367aaa
122b961176
13191b0035
14102a0a26
1595b1b56
hex65ec9aa

106875306 has 48 divisors (see below), whose sum is σ = 236478528. Its totient is φ = 34876800.

The previous prime is 106875299. The next prime is 106875313. The reversal of 106875306 is 603578601.

It is an interprime number because it is at equal distance from previous prime (106875299) and next prime (106875313).

It is a super-2 number, since 2×1068753062 = 22844662065187272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307825 + ... + 308171.

It is an arithmetic number, because the mean of its divisors is an integer number (4926636).

Almost surely, 2106875306 is an apocalyptic number.

106875306 is an abundant number, since it is smaller than the sum of its proper divisors (129603222).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106875306 is a wasteful number, since it uses less digits than its factorization.

106875306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106875306 is about 10338.0513637726. The cubic root of 106875306 is about 474.5614508154.

The spelling of 106875306 in words is "one hundred six million, eight hundred seventy-five thousand, three hundred six".

Divisors: 1 2 3 6 9 18 71 142 213 241 347 426 482 639 694 723 1041 1278 1446 2082 2169 3123 4338 6246 17111 24637 34222 49274 51333 73911 83627 102666 147822 153999 167254 221733 250881 307998 443466 501762 752643 1505286 5937517 11875034 17812551 35625102 53437653 106875306