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102285 = 3252273
BaseRepresentation
bin11000111110001101
312012022100
4120332031
511233120
62105313
7604131
oct307615
9165270
10102285
116a937
124b239
1337731
14293c1
1520490
hex18f8d

102285 has 12 divisors (see below), whose sum is σ = 177372. Its totient is φ = 54528.

The previous prime is 102259. The next prime is 102293. The reversal of 102285 is 582201.

102285 = T138 + T139 + ... + T147.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 35721 = 258^2 + 189^2 .

It is not a de Polignac number, because 102285 - 25 = 102253 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1092 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (14781).

2102285 is an apocalyptic number.

102285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102285 is a deficient number, since it is larger than the sum of its proper divisors (75087).

102285 is a wasteful number, since it uses less digits than its factorization.

102285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102285 is about 319.8202620223. The cubic root of 102285 is about 46.7667636032.

Adding to 102285 its reverse (582201), we get a palindrome (684486).

The spelling of 102285 in words is "one hundred two thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 45 2273 6819 11365 20457 34095 102285