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163668105 = 32541432063
BaseRepresentation
bin10011100000101…
…10000010001001
3102101222012102200
421300112002021
5313344334410
624123550413
74025104326
oct1160260211
9371865380
10163668105
11844282a7
124698b409
1327ba6243
1417a45b4d
15e57e3c0
hex9c16089

163668105 has 48 divisors (see below), whose sum is σ = 297513216. Its totient is φ = 83139840.

The previous prime is 163668103. The next prime is 163668119. The reversal of 163668105 is 501866361.

It is a happy number.

163668105 is a `hidden beast` number, since 1 + 636 + 6 + 8 + 10 + 5 = 666.

It is not a de Polignac number, because 163668105 - 21 = 163668103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 163668105.

It is not an unprimeable number, because it can be changed into a prime (163668101) 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, 78304 + ... + 80366.

It is an arithmetic number, because the mean of its divisors is an integer number (6198192).

Almost surely, 2163668105 is an apocalyptic number.

163668105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

163668105 is a deficient number, since it is larger than the sum of its proper divisors (133845111).

163668105 is a wasteful number, since it uses less digits than its factorization.

163668105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 163668105 is about 12793.2835894465. The cubic root of 163668105 is about 547.0008711845. Note that the first 3 decimals are identical.

The spelling of 163668105 in words is "one hundred sixty-three million, six hundred sixty-eight thousand, one hundred five".

Divisors: 1 3 5 9 15 41 43 45 123 129 205 215 369 387 615 645 1763 1845 1935 2063 5289 6189 8815 10315 15867 18567 26445 30945 79335 84583 88709 92835 253749 266127 422915 443545 761247 798381 1268745 1330635 3637069 3806235 3991905 10911207 18185345 32733621 54556035 163668105