10000111 has 8 divisors (see below), whose sum is σ = 11018448. Its totient is φ = 9000000.

The previous prime is 10000103. The next prime is 10000121. The reversal of 10000111 is 11100001.

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

It is a 6-Lehmer number, since φ(10000111) divides (10000111-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 10000111 - 2³ = 10000103 is a prime.

It is a Duffinian number.

10000111 is a modest number, since divided by 111 gives 10 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10000111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000121) 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, 3390 + ... + 5611.

It is an arithmetic number, because the mean of its divisors is an integer number (1377306).

Almost surely, 2^10000111 is an apocalyptic number.

10000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000111 is a deficient number, since it is larger than the sum of its proper divisors (1018337).

10000111 is a wasteful number, since it uses less digits than its factorization.

10000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9113.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 10000111 is about 3162.2952107607. The cubic root of 10000111 is about 215.4442661411. Note that the first 3 decimals are identical.

Adding to 10000111 its reverse (11100001), we get a palindrome (21100112).

Multiplying 10000111 by its reverse (11100001), we get a palindrome (111001242100111).

It can be divided in two parts, 100001 and 11, that multiplied together give a palindrome (1100011).

The spelling of 10000111 in words is "ten million, one hundred eleven", and thus it is an aban number.