100011107 has 12 divisors (see below), whose sum is σ = 121399056. Its totient is φ = 81995760.

The previous prime is 100011091. The next prime is 100011113. The reversal of 100011107 is 701110001.

It is not a de Polignac number, because 100011107 - 2⁴ = 100011091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100011137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43244 + ... + 45497.

It is an arithmetic number, because the mean of its divisors is an integer number (10116588).

Almost surely, 2^100011107 is an apocalyptic number.

100011107 is a deficient number, since it is larger than the sum of its proper divisors (21387949).

100011107 is an equidigital number, since it uses as much as digits as its factorization.

100011107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88778 (or 88771 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 11.

The square root of 100011107 is about 10000.5553345802. Note that the first 3 decimals coincide. The cubic root of 100011107 is about 464.1760674341.

Adding to 100011107 its reverse (701110001), we get a palindrome (801121108).

The spelling of 100011107 in words is "one hundred million, eleven thousand, one hundred seven".