100009091 has 32 divisors (see below), whose sum is σ = 127948800. Its totient is φ = 76070016.

The previous prime is 100009067. The next prime is 100009093. The reversal of 100009091 is 190900001.

It is a cyclic number.

It is not a de Polignac number, because 100009091 - 2¹⁸ = 99746947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100009093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286385 + ... + 286733.

It is an arithmetic number, because the mean of its divisors is an integer number (3998400).

Almost surely, 2^100009091 is an apocalyptic number.

100009091 is a deficient number, since it is larger than the sum of its proper divisors (27939709).

100009091 is a wasteful number, since it uses less digits than its factorization.

100009091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483.

The product of its (nonzero) digits is 81, while the sum is 20.

The square root of 100009091 is about 10000.4545396697. The cubic root of 100009091 is about 464.1729484964.

Adding to 100009091 its reverse (190900001), we get a palindrome (290909092).

It can be divided in two parts, 10000 and 9091, that added together give a palindrome (19091).

The spelling of 100009091 in words is "one hundred million, nine thousand, ninety-one".