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106383717 = 321119232459
BaseRepresentation
bin1100101011101…
…00100101100101
321102011212000200
412111310211211
5204213234332
614320101113
72431150416
oct625644545
9242155020
10106383717
1155061730
122b764799
131906a35b
14101b380d
15951617c
hex6574965

106383717 has 48 divisors (see below), whose sum is σ = 184204800. Its totient is φ = 58402080.

The previous prime is 106383647. The next prime is 106383721. The reversal of 106383717 is 717383601.

106383717 is a `hidden beast` number, since 1 + 0 + 638 + 3 + 7 + 17 = 666.

It is not a de Polignac number, because 106383717 - 28 = 106383461 is a prime.

It is a super-2 number, since 2×1063837172 = 22634990485472178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106383317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42034 + ... + 44492.

It is an arithmetic number, because the mean of its divisors is an integer number (3837600).

Almost surely, 2106383717 is an apocalyptic number.

It is an amenable number.

106383717 is a deficient number, since it is larger than the sum of its proper divisors (77821083).

106383717 is a wasteful number, since it uses less digits than its factorization.

106383717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106383717 is about 10314.2482518117. The cubic root of 106383717 is about 473.8327268551.

The spelling of 106383717 in words is "one hundred six million, three hundred eighty-three thousand, seven hundred seventeen".

Divisors: 1 3 9 11 19 23 33 57 69 99 171 207 209 253 437 627 759 1311 1881 2277 2459 3933 4807 7377 14421 22131 27049 43263 46721 56557 81147 140163 169671 243441 420489 509013 513931 622127 1074583 1541793 1866381 3223749 4625379 5599143 9671247 11820413 35461239 106383717