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102100095 = 3759337
BaseRepresentation
bin1100001010111…
…10110001111111
321010010020000000
412011132301333
5202114200340
614044205343
72346556626
oct605366177
9233106000
10102100095
11526a6349
122a239853
13181ca676
14d7ba6bd
158e6bd30
hex615ec7f

102100095 has 32 divisors (see below), whose sum is σ = 183771840. Its totient is φ = 54447552.

The previous prime is 102100093. The next prime is 102100099. The reversal of 102100095 is 590001201.

It is not a de Polignac number, because 102100095 - 21 = 102100093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6267 + ... + 15603.

It is an arithmetic number, because the mean of its divisors is an integer number (5742870).

Almost surely, 2102100095 is an apocalyptic number.

102100095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102100095 is a deficient number, since it is larger than the sum of its proper divisors (81671745).

102100095 is an frugal number, since it uses more digits than its factorization.

102100095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9363 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 102100095 is about 10104.4591641512. The cubic root of 102100095 is about 467.3856584063.

Adding to 102100095 its reverse (590001201), we get a palindrome (692101296).

The spelling of 102100095 in words is "one hundred two million, one hundred thousand, ninety-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 2187 3645 9337 10935 28011 46685 84033 140055 252099 420165 756297 1260495 2268891 3781485 6806673 11344455 20420019 34033365 102100095