100191091 has 32 divisors (see below), whose sum is σ = 135991296. Its totient is φ = 71280000.

The previous prime is 100191089. The next prime is 100191103. The reversal of 100191091 is 190191001.

It is not a de Polignac number, because 100191091 - 2¹ = 100191089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100191191) 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 31 ways as a sum of consecutive naturals, for example, 100606 + ... + 101596.

It is an arithmetic number, because the mean of its divisors is an integer number (4249728).

Almost surely, 2^100191091 is an apocalyptic number.

100191091 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100191091 is a deficient number, since it is larger than the sum of its proper divisors (35800205).

100191091 is a wasteful number, since it uses less digits than its factorization.

100191091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123.

The product of its (nonzero) digits is 81, while the sum is 22.

The square root of 100191091 is about 10009.5499898847. The cubic root of 100191091 is about 464.4543505213.

It can be divided in two parts, 1001910 and 91, that added together give a palindrome (1002001).

The spelling of 100191091 in words is "one hundred million, one hundred ninety-one thousand, ninety-one".