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102164 = 2225541
BaseRepresentation
bin11000111100010100
312012010212
4120330110
511232124
62104552
7603566
oct307424
9165125
10102164
116a837
124b158
133766a
1429336
152040e
hex18f14

102164 has 6 divisors (see below), whose sum is σ = 178794. Its totient is φ = 51080.

The previous prime is 102161. The next prime is 102181. The reversal of 102164 is 461201.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 16900 = 292^2 + 130^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12767 + ... + 12774.

It is an arithmetic number, because the mean of its divisors is an integer number (29799).

2102164 is an apocalyptic number.

It is an amenable number.

102164 is a deficient number, since it is larger than the sum of its proper divisors (76630).

102164 is a wasteful number, since it uses less digits than its factorization.

102164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25545 (or 25543 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 102164 is about 319.6310372914. The cubic root of 102164 is about 46.7483151137.

Adding to 102164 its reverse (461201), we get a palindrome (563365).

The spelling of 102164 in words is "one hundred two thousand, one hundred sixty-four".

Divisors: 1 2 4 25541 51082 102164