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106664103 = 327131747163
BaseRepresentation
bin1100101101110…
…01000010100111
321102201002122100
412112321002213
5204301222403
614330103143
72433426030
oct626710247
9242632570
10106664103
1155233357
122b87aab3
1319137b70
1410247a87
15956e2a3
hex65b90a7

106664103 has 96 divisors (see below), whose sum is σ = 206309376. Its totient is φ = 51508224.

The previous prime is 106664099. The next prime is 106664161. The reversal of 106664103 is 301466601.

It is not a de Polignac number, because 106664103 - 22 = 106664099 is a prime.

It is a super-2 number, since 2×1066641032 = 22754461737589218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106664003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 654300 + ... + 654462.

It is an arithmetic number, because the mean of its divisors is an integer number (2149056).

Almost surely, 2106664103 is an apocalyptic number.

106664103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106664103 is a deficient number, since it is larger than the sum of its proper divisors (99645273).

106664103 is a wasteful number, since it uses less digits than its factorization.

106664103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106664103 is about 10327.8314761619. The cubic root of 106664103 is about 474.2486411146.

The spelling of 106664103 in words is "one hundred six million, six hundred sixty-four thousand, one hundred three".

Divisors: 1 3 7 9 13 17 21 39 47 51 63 91 117 119 141 153 163 221 273 329 357 423 489 611 663 799 819 987 1071 1141 1467 1547 1833 1989 2119 2397 2771 2961 3423 4277 4641 5499 5593 6357 7191 7661 8313 10269 10387 12831 13923 14833 16779 19071 19397 22983 24939 31161 36023 38493 44499 50337 53627 58191 68949 72709 93483 99593 108069 130237 133497 160881 174573 218127 252161 298779 324207 390711 482643 654381 697151 756483 896337 911659 1172133 1693081 2091453 2269449 2734977 5079243 6274359 8204931 11851567 15237729 35554701 106664103