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100065 = 357953
BaseRepresentation
bin11000011011100001
312002021010
4120123201
511200230
62051133
7564510
oct303341
9162233
10100065
11691a9
1249aa9
1336714
1428677
151e9b0
hex186e1

100065 has 16 divisors (see below), whose sum is σ = 183168. Its totient is φ = 45696.

The previous prime is 100057. The next prime is 100069. The reversal of 100065 is 560001.

It is not a de Polignac number, because 100065 - 23 = 100057 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100065.

It is not an unprimeable number, because it can be changed into a prime (100069) 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, 372 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (11448).

2100065 is an apocalyptic number.

100065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100065 is a deficient number, since it is larger than the sum of its proper divisors (83103).

100065 is an equidigital number, since it uses as much as digits as its factorization.

100065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968.

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

The square root of 100065 is about 316.3305233454. The cubic root of 100065 is about 46.4259429338.

Adding to 100065 its reverse (560001), we get a palindrome (660066).

It can be divided in two parts, 10006 and 5, that added together give a triangular number (10011 = T141).

The spelling of 100065 in words is "one hundred thousand, sixty-five".

Divisors: 1 3 5 7 15 21 35 105 953 2859 4765 6671 14295 20013 33355 100065