100900111 has 8 divisors (see below), whose sum is σ = 109738944. Its totient is φ = 92215200.

The previous prime is 100900109. The next prime is 100900123. The reversal of 100900111 is 111009001.

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 100900111 - 2¹ = 100900109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100900091 and 100900100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100903111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37111 + ... + 39736.

It is an arithmetic number, because the mean of its divisors is an integer number (13717368).

Almost surely, 2^100900111 is an apocalyptic number.

100900111 is a deficient number, since it is larger than the sum of its proper divisors (8838833).

100900111 is a wasteful number, since it uses less digits than its factorization.

100900111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76961.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 100900111 is about 10044.9047282690. The cubic root of 100900111 is about 465.5473740600.

Adding to 100900111 its reverse (111009001), we get a palindrome (211909112).

It can be divided in two parts, 1009001 and 11, that multiplied together give a palindrome (11099011).

The spelling of 100900111 in words is "one hundred million, nine hundred thousand, one hundred eleven".