100111 has 8 divisors (see below), whose sum is σ = 115200. Its totient is φ = 86040.

The previous prime is 100109. The next prime is 100129. The reversal of 100111 is 111001.

100111 is nontrivially palindromic in base 15.

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 100111 - 2¹ = 100109 is a prime.

It is a Duffinian number.

100111 is a modest number, since divided by 111 gives 100 as remainder.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100151) 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, 31 + ... + 448.

It is an arithmetic number, because the mean of its divisors is an integer number (14400).

2¹⁰⁰¹¹¹ is an apocalyptic number.

100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111 is the 142-nd centered decagonal number.

100111 is a deficient number, since it is larger than the sum of its proper divisors (15089).

100111 is a wasteful number, since it uses less digits than its factorization.

100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 100111 is about 316.4032237510. The cubic root of 100111 is about 46.4330558644.

Adding to 100111 its reverse (111001), we get a palindrome (211112).

Multiplying 100111 by its reverse (111001), we get a palindrome (11112421111).

It can be divided in two parts, 1001 and 11, that multiplied together give a palindrome (11011).

The spelling of 100111 in words is "one hundred thousand, one hundred eleven", and thus it is an iban number.