100001 has 4 divisors (see below), whose sum is σ = 109104. Its totient is φ = 90900.

The previous prime is 99991. The next prime is 100003.

100001 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10^{5}+1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a sliding number, since 100001 = 1 + 100000 and 1/1 + 1/100000 = 1.00001.

It is a cyclic number.

It is not a de Polignac number, because 100001 - 2^{14} = 83617 is a prime.

100001 is a strobogrammatic number because it is the same when read upside-down.

It is a deceptive number, since it divides R_{100000}.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 99964 and 100000.

It is not an unprimeable number, because it can be changed into a prime (100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4535 + ... + 4556.

It is an arithmetic number, because the mean of its divisors is an integer number (27276).

2^{100001} is an apocalyptic number.

100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100001 is a deficient number, since it is larger than the sum of its proper divisors (9103).

100001 is an equidigital number, since it uses as much as digits as its factorization.

100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102.

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 100001 is about 316.2293471517. The cubic root of 100001 is about 46.4160430552.

It can be divided in two parts, 10000 and 1, that added together give a palindrome (10001).

The spelling of 100001 in words is "one hundred thousand, one", and thus it is an iban number.

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