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106589957 = 7112711821
BaseRepresentation
bin1100101101001…
…10111100000101
321102120022221012
412112212330011
5204241334312
614324332005
72432666615
oct626467405
9242508835
10106589957
1155192681
122b844005
13191101a6
1410228a45
159557322
hex65a6f05

106589957 has 8 divisors (see below), whose sum is σ = 108951552. Its totient is φ = 104252400.

The previous prime is 106589953. The next prime is 106589999. The reversal of 106589957 is 759985601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106589957 - 22 = 106589953 is a prime.

It is a super-2 number, since 2×1065899572 = 22722837866523698, 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 (106589953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3107 + ... + 14927.

It is an arithmetic number, because the mean of its divisors is an integer number (13618944).

Almost surely, 2106589957 is an apocalyptic number.

It is an amenable number.

106589957 is a deficient number, since it is larger than the sum of its proper divisors (2361595).

106589957 is a wasteful number, since it uses less digits than its factorization.

106589957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12019.

The product of its (nonzero) digits is 680400, while the sum is 50.

The square root of 106589957 is about 10324.2412311995. The cubic root of 106589957 is about 474.1387266268.

The spelling of 106589957 in words is "one hundred six million, five hundred eighty-nine thousand, nine hundred fifty-seven".

Divisors: 1 71 127 9017 11821 839291 1501267 106589957