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102516 = 2238543
BaseRepresentation
bin11001000001110100
312012121220
4121001310
511240031
62110340
7604611
oct310164
9165556
10102516
1170027
124b3b0
133787b
1429508
1520596
hex19074

102516 has 12 divisors (see below), whose sum is σ = 239232. Its totient is φ = 34168.

The previous prime is 102503. The next prime is 102523. The reversal of 102516 is 615201.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 102495 and 102504.

It is a congruent number.

It is an unprimeable number.

102516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4260 + ... + 4283.

It is an arithmetic number, because the mean of its divisors is an integer number (19936).

2102516 is an apocalyptic number.

102516 is the 203-rd centered pentagonal number.

It is an amenable number.

102516 is an abundant number, since it is smaller than the sum of its proper divisors (136716).

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

102516 is a wasteful number, since it uses less digits than its factorization.

102516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8550 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 102516 is about 320.1811986985. The cubic root of 102516 is about 46.8019430854.

Adding to 102516 its reverse (615201), we get a palindrome (717717).

The spelling of 102516 in words is "one hundred two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 8543 17086 25629 34172 51258 102516