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102300 = 223521131
BaseRepresentation
bin11000111110011100
312012022220
4120332130
511233200
62105340
7604152
oct307634
9165286
10102300
116a950
124b250
1337743
14293d2
15204a0
hex18f9c

102300 has 72 divisors (see below), whose sum is σ = 333312. Its totient is φ = 24000.

The previous prime is 102299. The next prime is 102301. The reversal of 102300 is 3201.

102300 = T45 + T46 + ... + T88.

It is an interprime number because it is at equal distance from previous prime (102299) and next prime (102301).

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

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 (102301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3285 + ... + 3315.

2102300 is an apocalyptic number.

102300 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 102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166656).

102300 is an abundant number, since it is smaller than the sum of its proper divisors (231012).

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

102300 is a wasteful number, since it uses less digits than its factorization.

102300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 52 counting only the distinct ones).

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

The square root of 102300 is about 319.8437118344. The cubic root of 102300 is about 46.7690495922.

Adding to 102300 its reverse (3201), we get a palindrome (105501).

Subtracting from 102300 its reverse (3201), we obtain a palindrome (99099).

The spelling of 102300 in words is "one hundred two thousand, three hundred", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 775 825 930 1023 1100 1364 1550 1650 1705 1860 2046 2325 3100 3300 3410 4092 4650 5115 6820 8525 9300 10230 17050 20460 25575 34100 51150 102300