100400111 has 8 divisors (see below), whose sum is σ = 114834720. Its totient is φ = 85988448.

The previous prime is 100400107. The next prime is 100400119. The reversal of 100400111 is 111004001.

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

It is not a de Polignac number, because 100400111 - 2² = 100400107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100400119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4985 + ... + 15021.

It is an arithmetic number, because the mean of its divisors is an integer number (14354340).

Almost surely, 2^100400111 is an apocalyptic number.

100400111 is a deficient number, since it is larger than the sum of its proper divisors (14434609).

100400111 is a wasteful number, since it uses less digits than its factorization.

100400111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11473.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 100400111 is about 10019.9855788319. The cubic root of 100400111 is about 464.7771098122. Note that the first 3 decimals are identical.

Adding to 100400111 its reverse (111004001), we get a palindrome (211404112).

It can be divided in two parts, 1004001 and 11, that multiplied together give a palindrome (11044011).

The spelling of 100400111 in words is "one hundred million, four hundred thousand, one hundred eleven".