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103999 = 783179
BaseRepresentation
bin11001011000111111
312021122211
4121120333
511311444
62121251
7612130
oct313077
9167584
10103999
1171155
1250227
133844c
1429c87
1520c34
hex1963f

103999 has 8 divisors (see below), whose sum is σ = 120960. Its totient is φ = 87576.

The previous prime is 103997. The next prime is 104003. The reversal of 103999 is 999301.

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

It is a cyclic number.

It is not a de Polignac number, because 103999 - 21 = 103997 is a prime.

103999 is a modest number, since divided by 999 gives 103 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 103999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492 + ... + 670.

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

2103999 is an apocalyptic number.

103999 is a deficient number, since it is larger than the sum of its proper divisors (16961).

103999 is an equidigital number, since it uses as much as digits as its factorization.

103999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269.

The product of its (nonzero) digits is 2187, while the sum is 31.

The square root of 103999 is about 322.4887594940. The cubic root of 103999 is about 47.0265430273.

The spelling of 103999 in words is "one hundred three thousand, nine hundred ninety-nine".

Divisors: 1 7 83 179 581 1253 14857 103999