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102505 = 5131983
BaseRepresentation
bin11001000001101001
312012121111
4121001221
511240010
62110321
7604564
oct310151
9165544
10102505
1170017
124b3a1
1337870
14294db
152058a
hex19069

102505 has 16 divisors (see below), whose sum is σ = 141120. Its totient is φ = 70848.

The previous prime is 102503. The next prime is 102523. The reversal of 102505 is 505201.

102505 = 32 + 42 + ... + 672.

It is a cyclic number.

It is not a de Polignac number, because 102505 - 21 = 102503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

102505 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (102503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1194 + ... + 1276.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

102505 is a Friedman number, since it can be written as 20501*5, using all its digits and the basic arithmetic operations.

2102505 is an apocalyptic number.

It is an amenable number.

102505 is a deficient number, since it is larger than the sum of its proper divisors (38615).

102505 is a wasteful number, since it uses less digits than its factorization.

102505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120.

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 102505 is about 320.1640204645. The cubic root of 102505 is about 46.8002690709.

Adding to 102505 its reverse (505201), we get a palindrome (607706).

The spelling of 102505 in words is "one hundred two thousand, five hundred five".

Divisors: 1 5 13 19 65 83 95 247 415 1079 1235 1577 5395 7885 20501 102505