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102153 = 3172003
BaseRepresentation
bin11000111100001001
312012010110
4120330021
511232103
62104533
7603552
oct307411
9165113
10102153
116a827
124b149
133765c
1429329
1520403
hex18f09

102153 has 8 divisors (see below), whose sum is σ = 144288. Its totient is φ = 64064.

The previous prime is 102149. The next prime is 102161. The reversal of 102153 is 351201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102153 - 22 = 102149 is a prime.

102153 is a modest number, since divided by 153 gives 102 as remainder.

102153 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (102103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (18036).

2102153 is an apocalyptic number.

It is an amenable number.

102153 is a deficient number, since it is larger than the sum of its proper divisors (42135).

102153 is a wasteful number, since it uses less digits than its factorization.

102153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 102153 is about 319.6138294880. The cubic root of 102153 is about 46.7466372561.

Adding to 102153 its reverse (351201), we get a palindrome (453354).

The spelling of 102153 in words is "one hundred two thousand, one hundred fifty-three".

Divisors: 1 3 17 51 2003 6009 34051 102153