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102120 = 23352337
BaseRepresentation
bin11000111011101000
312012002020
4120323220
511231440
62104440
7603504
oct307350
9165066
10102120
116a7a7
124b120
1337635
1429304
15203d0
hex18ee8

102120 has 64 divisors (see below), whose sum is σ = 328320. Its totient is φ = 25344.

The previous prime is 102107. The next prime is 102121. The reversal of 102120 is 21201.

102120 = T11 + T12 + ... + T84.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 102099 and 102108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121) 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, 2742 + ... + 2778.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2102120 is an apocalyptic number.

102120 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 102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164160).

102120 is an abundant number, since it is smaller than the sum of its proper divisors (226200).

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

102120 is a wasteful number, since it uses less digits than its factorization.

102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 70 counting only the distinct ones).

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

The square root of 102120 is about 319.5622005181. The cubic root of 102120 is about 46.7416029606.

Adding to 102120 its reverse (21201), we get a palindrome (123321).

It can be divided in two parts, 102 and 120, that added together give a palindrome (222).

The spelling of 102120 in words is "one hundred two thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1380 1480 1702 2220 2553 2760 3404 4255 4440 5106 6808 8510 10212 12765 17020 20424 25530 34040 51060 102120