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102102 = 237111317
BaseRepresentation
bin11000111011010110
312012001120
4120323112
511231402
62104410
7603450
oct307326
9165046
10102102
116a790
124b106
1337620
14292d0
15203bc
hex18ed6

102102 has 64 divisors (see below), whose sum is σ = 290304. Its totient is φ = 23040.

The previous prime is 102101. The next prime is 102103. The reversal of 102102 is 201201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102101) and next prime (102103).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101) 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, 5998 + ... + 6014.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2102102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152).

102102 is an abundant number, since it is smaller than the sum of its proper divisors (188202).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102102 is a wasteful number, since it uses less digits than its factorization.

102102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102102 is about 319.5340357458. The cubic root of 102102 is about 46.7388565241.

Adding to 102102 its reverse (201201), we get a palindrome (303303).

Subtracting 102102 from its reverse (201201), we obtain a palindrome (99099).

It can be divided in two parts, 10 and 2102, that added together give a palindrome (2112).

The spelling of 102102 in words is "one hundred two thousand, one hundred two", and thus it is an iban number.

Divisors: 1 2 3 6 7 11 13 14 17 21 22 26 33 34 39 42 51 66 77 78 91 102 119 143 154 182 187 221 231 238 273 286 357 374 429 442 462 546 561 663 714 858 1001 1122 1309 1326 1547 2002 2431 2618 3003 3094 3927 4641 4862 6006 7293 7854 9282 14586 17017 34034 51051 102102