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102000 = 2435317
BaseRepresentation
bin11000111001110000
312011220210
4120321300
511231000
62104120
7603243
oct307160
9164823
10102000
116a6a8
124b040
1337572
142925a
1520350
hex18e70

102000 has 80 divisors (see below), whose sum is σ = 348192. Its totient is φ = 25600.

The previous prime is 101999. The next prime is 102001. The reversal of 102000 is 201.

Adding to 102000 its reverse (201), we get a palindrome (102201).

It is an interprime number because it is at equal distance from previous prime (101999) and next prime (102001).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5992 + ... + 6008.

2102000 is an apocalyptic number.

102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096).

102000 is an abundant number, since it is smaller than the sum of its proper divisors (246192).

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

102000 is a wasteful number, since it uses less digits than its factorization.

102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

The square root of 102000 is about 319.3743884534. The cubic root of 102000 is about 46.7232872836.

The spelling of 102000 in words is "one hundred two thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 500 510 600 680 750 816 850 1000 1020 1200 1275 1360 1500 1700 2000 2040 2125 2550 3000 3400 4080 4250 5100 6000 6375 6800 8500 10200 12750 17000 20400 25500 34000 51000 102000