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106057679 = 71317179383
BaseRepresentation
bin1100101001001…
…00111111001111
321101120021210012
412110210333033
5204122321204
614305103435
72425322030
oct624447717
9241507705
10106057679
1154959782
122b627b7b
1318c84b30
141012aa87
15949e76e
hex6524fcf

106057679 has 32 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 78331392.

The previous prime is 106057667. The next prime is 106057681. The reversal of 106057679 is 976750601.

It is a cyclic number.

It is not a de Polignac number, because 106057679 - 24 = 106057663 is a prime.

It is a super-2 number, since 2×1060576792 = 22496462549734082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106057079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276722 + ... + 277104.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2106057679 is an apocalyptic number.

106057679 is a deficient number, since it is larger than the sum of its proper divisors (33288241).

106057679 is a wasteful number, since it uses less digits than its factorization.

106057679 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599.

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 106057679 is about 10298.4308998993. The cubic root of 106057679 is about 473.3481741142.

The spelling of 106057679 in words is "one hundred six million, fifty-seven thousand, six hundred seventy-nine".

Divisors: 1 7 13 17 91 119 179 221 383 1253 1547 2327 2681 3043 4979 6511 16289 21301 34853 39559 45577 68557 84643 276913 479899 592501 891241 1165469 6238687 8158283 15151097 106057679