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102897 = 3337103
BaseRepresentation
bin11001000111110001
312020011000
4121013301
511243042
62112213
7605664
oct310761
9166130
10102897
1170343
124b669
1337ab2
14296db
152074c
hex191f1

102897 has 16 divisors (see below), whose sum is σ = 158080. Its totient is φ = 66096.

The previous prime is 102881. The next prime is 102911. The reversal of 102897 is 798201.

It is not a de Polignac number, because 102897 - 24 = 102881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102897.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102897.

It is not an unprimeable number, because it can be changed into a prime (102877) 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, 948 + ... + 1050.

It is an arithmetic number, because the mean of its divisors is an integer number (9880).

2102897 is an apocalyptic number.

It is an amenable number.

102897 is a deficient number, since it is larger than the sum of its proper divisors (55183).

102897 is a wasteful number, since it uses less digits than its factorization.

102897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 102897 is about 320.7756225152. The cubic root of 102897 is about 46.8598511048.

It can be divided in two parts, 10289 and 7, that added together give a triangular number (10296 = T143).

The spelling of 102897 in words is "one hundred two thousand, eight hundred ninety-seven".

Divisors: 1 3 9 27 37 103 111 309 333 927 999 2781 3811 11433 34299 102897