100091111 has 8 divisors (see below), whose sum is σ = 101955504. Its totient is φ = 98242560.

The previous prime is 100091077. The next prime is 100091119. The reversal of 100091111 is 111190001.

It is a happy number.

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 100091111 - 2¹⁰ = 100090087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100091119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9191 + ... + 16871.

It is an arithmetic number, because the mean of its divisors is an integer number (12744438).

Almost surely, 2^100091111 is an apocalyptic number.

100091111 is a deficient number, since it is larger than the sum of its proper divisors (1864393).

100091111 is an equidigital number, since it uses as much as digits as its factorization.

100091111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7921.

The product of its (nonzero) digits is 9, while the sum is 14.

The square root of 100091111 is about 10004.5545128206. The cubic root of 100091111 is about 464.2998071710.

The spelling of 100091111 in words is "one hundred million, ninety-one thousand, one hundred eleven".