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102131105 = 5162112601
BaseRepresentation
bin1100001011001…
…10010110100001
321010011210112112
412011212112201
5202121143410
614045005105
72350046216
oct605462641
9233153475
10102131105
115271767a
122a253795
131820b80b
14d7c7b0d
158e76105
hex61665a1

102131105 has 8 divisors (see below), whose sum is σ = 122642664. Its totient is φ = 81648000.

The previous prime is 102131093. The next prime is 102131111. The reversal of 102131105 is 501131201.

It can be written as a sum of positive squares in 4 ways, for example, as 14371681 + 87759424 = 3791^2 + 9368^2 .

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

It is not a de Polignac number, because 102131105 - 222 = 97936801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102131105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1805 + ... + 14405.

It is an arithmetic number, because the mean of its divisors is an integer number (15330333).

Almost surely, 2102131105 is an apocalyptic number.

It is an amenable number.

102131105 is a deficient number, since it is larger than the sum of its proper divisors (20511559).

102131105 is a wasteful number, since it uses less digits than its factorization.

102131105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14227.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 102131105 is about 10105.9935186997. The cubic root of 102131105 is about 467.4329719835.

Adding to 102131105 its reverse (501131201), we get a palindrome (603262306).

The spelling of 102131105 in words is "one hundred two million, one hundred thirty-one thousand, one hundred five".

Divisors: 1 5 1621 8105 12601 63005 20426221 102131105