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106056117 = 3211784013
BaseRepresentation
bin1100101001001…
…00100110110101
321101120012122100
412110210212311
5204122243432
614305052313
72425314336
oct624444665
9241505570
10106056117
1154958592
122b627099
1318c841cb
141012a28d
15949e07c
hex65249b5

106056117 has 6 divisors (see below), whose sum is σ = 153192182. Its totient is φ = 70704072.

The previous prime is 106056101. The next prime is 106056133. The reversal of 106056117 is 711650601.

It is an interprime number because it is at equal distance from previous prime (106056101) and next prime (106056133).

It can be written as a sum of positive squares in only one way, i.e., 58155876 + 47900241 = 7626^2 + 6921^2 .

It is not a de Polignac number, because 106056117 - 24 = 106056101 is a prime.

It is a super-2 number, since 2×1060561172 = 22495799906235378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106056187) 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 5 ways as a sum of consecutive naturals, for example, 5891998 + ... + 5892015.

Almost surely, 2106056117 is an apocalyptic number.

It is an amenable number.

106056117 is a deficient number, since it is larger than the sum of its proper divisors (47136065).

106056117 is a wasteful number, since it uses less digits than its factorization.

106056117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11784019 (or 11784016 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 106056117 is about 10298.3550628244. The cubic root of 106056117 is about 473.3458503049.

The spelling of 106056117 in words is "one hundred six million, fifty-six thousand, one hundred seventeen".

Divisors: 1 3 9 11784013 35352039 106056117