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102207 = 3731157
BaseRepresentation
bin11000111100111111
312012012110
4120330333
511232312
62105103
7603660
oct307477
9165173
10102207
116a876
124b193
13376a1
1429367
152043c
hex18f3f

102207 has 16 divisors (see below), whose sum is σ = 161792. Its totient is φ = 56160.

The previous prime is 102203. The next prime is 102217. The reversal of 102207 is 702201.

It is not a de Polignac number, because 102207 - 22 = 102203 is a prime.

It is a Duffinian number.

102207 is a lucky number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 102192 and 102201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102203) 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, 573 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (10112).

2102207 is an apocalyptic number.

102207 is a deficient number, since it is larger than the sum of its proper divisors (59585).

102207 is a wasteful number, since it uses less digits than its factorization.

102207 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 102207 is about 319.6982952723. The cubic root of 102207 is about 46.7548728561.

Adding to 102207 its reverse (702201), we get a palindrome (804408).

The spelling of 102207 in words is "one hundred two thousand, two hundred seven", and thus it is an iban number.

Divisors: 1 3 7 21 31 93 157 217 471 651 1099 3297 4867 14601 34069 102207