100111107 has 8 divisors (see below), whose sum is σ = 134663184. Its totient is φ = 66149888.

The previous prime is 100111087. The next prime is 100111127. The reversal of 100111107 is 701111001.

It is an interprime number because it is at equal distance from previous prime (100111087) and next prime (100111127).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100111107 - 2⁶ = 100111043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100111092 and 100111101.

It is not an unprimeable number, because it can be changed into a prime (100111127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147318 + ... + 147995.

It is an arithmetic number, because the mean of its divisors is an integer number (16832898).

Almost surely, 2^100111107 is an apocalyptic number.

100111107 is a deficient number, since it is larger than the sum of its proper divisors (34552077).

100111107 is a wasteful number, since it uses less digits than its factorization.

100111107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295429.

The product of its (nonzero) digits is 7, while the sum is 12.

The square root of 100111107 is about 10005.5538077610. The cubic root of 100111107 is about 464.3307240715.

Adding to 100111107 its reverse (701111001), we get a palindrome (801222108).

The spelling of 100111107 in words is "one hundred million, one hundred eleven thousand, one hundred seven".