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104007 = 337937
BaseRepresentation
bin11001011001000111
312021200010
4121121013
511312012
62121303
7612141
oct313107
9167603
10104007
1171162
1250233
1338457
1429c91
1520c3c
hex19647

104007 has 8 divisors (see below), whose sum is σ = 142576. Its totient is φ = 67392.

The previous prime is 104003. The next prime is 104009. The reversal of 104007 is 700401.

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

It is not a de Polignac number, because 104007 - 22 = 104003 is a prime.

It is the 323-rd Hogben number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103983 and 104001.

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 104007.

It is not an unprimeable number, because it can be changed into a prime (104003) by changing a digit.

It is a nontrivial repunit in base 322.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 358 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (17822).

2104007 is an apocalyptic number.

104007 is a deficient number, since it is larger than the sum of its proper divisors (38569).

104007 is an equidigital number, since it uses as much as digits as its factorization.

104007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 104007 is about 322.5011627886. The cubic root of 104007 is about 47.0277488168.

Adding to 104007 its reverse (700401), we get a palindrome (804408).

The spelling of 104007 in words is "one hundred four thousand, seven", and thus it is an iban number.

Divisors: 1 3 37 111 937 2811 34669 104007