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106644681 = 371121331
BaseRepresentation
bin1100101101101…
…00010011001001
321102200010000000
412112310103021
5204300112211
614325433213
72433315303
oct626642311
9242603000
10106644681
115521a800
122b86b809
131912c080
1410240973
159568656
hex65b44c9

106644681 has 96 divisors (see below), whose sum is σ = 195435520. Its totient is φ = 57736800.

The previous prime is 106644677. The next prime is 106644691. The reversal of 106644681 is 186446601.

106644681 is a `hidden beast` number, since 1 + 0 + 6 + 644 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 106644681 - 22 = 106644677 is a prime.

It is a super-2 number, since 2×1066446812 = 22746175971183522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106644631) 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 95 ways as a sum of consecutive naturals, for example, 3440136 + ... + 3440166.

Almost surely, 2106644681 is an apocalyptic number.

106644681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106644681 is a deficient number, since it is larger than the sum of its proper divisors (88790839).

106644681 is an equidigital number, since it uses as much as digits as its factorization.

106644681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106644681 is about 10326.8911585239. The cubic root of 106644681 is about 474.2198547470.

The spelling of 106644681 in words is "one hundred six million, six hundred forty-four thousand, six hundred eighty-one".

Divisors: 1 3 9 11 13 27 31 33 39 81 93 99 117 121 143 243 279 297 341 351 363 403 429 729 837 891 1023 1053 1089 1209 1287 1573 2187 2511 2673 3069 3159 3267 3627 3751 3861 4433 4719 7533 8019 9207 9477 9801 10881 11253 11583 13299 14157 22599 24057 27621 28431 29403 32643 33759 34749 39897 42471 48763 67797 82863 88209 97929 101277 104247 119691 127413 146289 248589 264627 293787 303831 312741 359073 382239 438867 745767 881361 911493 1077219 1146717 1316601 2734479 3231657 3440151 3949803 8203437 9694971 11849409 35548227 106644681