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106055001 = 34132329151
BaseRepresentation
bin1100101001001…
…00010101011001
321101120011010000
412110210111121
5204122230001
614305043213
72425311153
oct624442531
9241504100
10106055001
1154957768
122b626509
1318c83850
1410129ad3
15949da86
hex6524559

106055001 has 80 divisors (see below), whose sum is σ = 185391360. Its totient is φ = 59875200.

The previous prime is 106054973. The next prime is 106055003. The reversal of 106055001 is 100550601.

106055001 is a `hidden beast` number, since 10 + 605 + 50 + 0 + 1 = 666.

It is not a de Polignac number, because 106055001 - 25 = 106054969 is a prime.

It is a super-2 number, since 2×1060550012 = 22495326474220002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106055003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 702276 + ... + 702426.

It is an arithmetic number, because the mean of its divisors is an integer number (2317392).

Almost surely, 2106055001 is an apocalyptic number.

It is an amenable number.

106055001 is a deficient number, since it is larger than the sum of its proper divisors (79336359).

106055001 is a wasteful number, since it uses less digits than its factorization.

106055001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 106055001 is about 10298.3008792713. The cubic root of 106055001 is about 473.3441900020.

The spelling of 106055001 in words is "one hundred six million, fifty-five thousand, one".

Divisors: 1 3 9 13 23 27 29 39 69 81 87 117 151 207 261 299 351 377 453 621 667 783 897 1053 1131 1359 1863 1963 2001 2349 2691 3393 3473 4077 4379 5889 6003 8073 8671 10179 10419 12231 13137 17667 18009 24219 26013 30537 31257 39411 45149 53001 54027 56927 78039 93771 100717 118233 135447 159003 170781 234117 281313 302151 354699 406341 512343 702351 906453 1219023 1309321 1537029 2719359 3657069 3927963 4611087 8158077 11783889 35351667 106055001