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106007 = 1123419
BaseRepresentation
bin11001111000010111
312101102012
4121320113
511343012
62134435
7621026
oct317027
9171365
10106007
1172710
125141b
1339335
142a8bd
1521622
hex19e17

106007 has 8 divisors (see below), whose sum is σ = 120960. Its totient is φ = 91960.

The previous prime is 105997. The next prime is 106013. The reversal of 106007 is 700601.

It is a happy number.

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

It is not a de Polignac number, because 106007 - 26 = 105943 is a prime.

It is a super-2 number, since 2×1060072 = 22474968098, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105982 and 106000.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106007.

It is not an unprimeable number, because it can be changed into a prime (106087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2106007 is an apocalyptic number.

106007 is a deficient number, since it is larger than the sum of its proper divisors (14953).

106007 is a wasteful number, since it uses less digits than its factorization.

106007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453.

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

The square root of 106007 is about 325.5871619091. The cubic root of 106007 is about 47.3272766612.

Adding to 106007 its reverse (700601), we get a palindrome (806608).

The spelling of 106007 in words is "one hundred six thousand, seven".

Divisors: 1 11 23 253 419 4609 9637 106007