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132107 = 1719409
BaseRepresentation
bin100000010000001011
320201012212
4200100023
513211412
62455335
71060103
oct402013
9221185
10132107
1190288
126454b
1348191
1436203
1529222
hex2040b

132107 has 8 divisors (see below), whose sum is σ = 147600. Its totient is φ = 117504.

The previous prime is 132103. The next prime is 132109. The reversal of 132107 is 701231.

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

It is not a de Polignac number, because 132107 - 22 = 132103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132091 and 132100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (18450).

2132107 is an apocalyptic number.

132107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

132107 is a deficient number, since it is larger than the sum of its proper divisors (15493).

132107 is a wasteful number, since it uses less digits than its factorization.

132107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 132107 is about 363.4652665661. The cubic root of 132107 is about 50.9301877041.

Adding to 132107 its reverse (701231), we get a palindrome (833338).

The spelling of 132107 in words is "one hundred thirty-two thousand, one hundred seven".

Divisors: 1 17 19 323 409 6953 7771 132107