900111006 has 24 divisors (see below), whose sum is σ = 1991736864. Its totient is φ = 293652960.

The previous prime is 900110999. The next prime is 900111011. The reversal of 900111006 is 600111009.

It is a super-3 number, since 3×900111006³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

900111006 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 900111006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531135 + ... + 532826.

It is an arithmetic number, because the mean of its divisors is an integer number (82989036).

Almost surely, 2^900111006 is an apocalyptic number.

900111006 is an abundant number, since it is smaller than the sum of its proper divisors (1091625858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

900111006 is a wasteful number, since it uses less digits than its factorization.

900111006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064016 (or 1064013 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 900111006 is about 30001.8500429557. The cubic root of 900111006 is about 965.5290774607.

The spelling of 900111006 in words is "nine hundred million, one hundred eleven thousand, six".