900106284 has 144 divisors (see below), whose sum is σ = 2679747840. Its totient is φ = 232525440.

The previous prime is 900106283. The next prime is 900106309. The reversal of 900106284 is 482601009.

It is not an unprimeable number, because it can be changed into a prime (900106283) 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 47 ways as a sum of consecutive naturals, for example, 2050137 + ... + 2050575.

It is an arithmetic number, because the mean of its divisors is an integer number (18609360).

Almost surely, 2^900106284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900106284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339873920).

900106284 is an abundant number, since it is smaller than the sum of its proper divisors (1779641556).

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

900106284 is a wasteful number, since it uses less digits than its factorization.

900106284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 900106284 is about 30001.7713477055. The cubic root of 900106284 is about 965.5273890629.

The spelling of 900106284 in words is "nine hundred million, one hundred six thousand, two hundred eighty-four".