100010091 has 16 divisors (see below), whose sum is σ = 141107840. Its totient is φ = 62830080.

The previous prime is 100010077. The next prime is 100010107. The reversal of 100010091 is 190010001.

It is not a de Polignac number, because 100010091 - 2⁵ = 100010059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010021) 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, 6456 + ... + 15546.

It is an arithmetic number, because the mean of its divisors is an integer number (8819240).

Almost surely, 2^100010091 is an apocalyptic number.

100010091 is a deficient number, since it is larger than the sum of its proper divisors (41097749).

100010091 is a wasteful number, since it uses less digits than its factorization.

100010091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9306.

The product of its (nonzero) digits is 9, while the sum is 12.

The square root of 100010091 is about 10000.5045372721. The cubic root of 100010091 is about 464.1744955938.

Adding to 100010091 its reverse (190010001), we get a palindrome (290020092).

The spelling of 100010091 in words is "one hundred million, ten thousand, ninety-one".