100091091 has 16 divisors (see below), whose sum is σ = 135626400. Its totient is φ = 65649408.

The previous prime is 100091077. The next prime is 100091119. The reversal of 100091091 is 190190001.

It is not a de Polignac number, because 100091091 - 2¹⁷ = 99960019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100091051) 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, 60325 + ... + 61961.

It is an arithmetic number, because the mean of its divisors is an integer number (8476650).

Almost surely, 2^100091091 is an apocalyptic number.

100091091 is a deficient number, since it is larger than the sum of its proper divisors (35535309).

100091091 is a wasteful number, since it uses less digits than its factorization.

100091091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958.

The product of its (nonzero) digits is 81, while the sum is 21.

The square root of 100091091 is about 10004.5535132758. The cubic root of 100091091 is about 464.2997762458.

It can be divided in two parts, 1000910 and 91, that added together give a palindrome (1001001).

The spelling of 100091091 in words is "one hundred million, ninety-one thousand, ninety-one".