100011 has 16 divisors (see below), whose sum is σ = 147744. Its totient is φ = 59904.

The previous prime is 100003. The next prime is 100019. The reversal of 100011 is 110001.

100011 = T₃₃ + T₃₄ + ... + T₈₅.

It is an interprime number because it is at equal distance from previous prime (100003) and next prime (100019).

It is not a de Polignac number, because 100011 - 2³ = 100003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

100011 is a modest number, since divided by 11 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 99969 and 100005.

It is not an unprimeable number, because it can be changed into a prime (100019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1861 + ... + 1913.

It is an arithmetic number, because the mean of its divisors is an integer number (9234).

2¹⁰⁰⁰¹¹ is an apocalyptic number.

100011 is a deficient number, since it is larger than the sum of its proper divisors (47733).

100011 is a wasteful number, since it uses less digits than its factorization.

100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 100011 is about 316.2451580657. The cubic root of 100011 is about 46.4175901896.

Adding to 100011 its reverse (110001), we get a palindrome (210012).

Multiplying 100011 by its reverse (110001), we get a palindrome (11001310011).

The spelling of 100011 in words is "one hundred thousand, eleven", and thus it is an iban number.