900180010 has 32 divisors (see below), whose sum is σ = 1717102800. Its totient is φ = 339171840.

The previous prime is 900179983. The next prime is 900180059. The reversal of 900180010 is 10081009.

900180010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 30003²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 324036001 + 576144009 = 18001^2 + 24003^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 900180010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25965 + ... + 49744.

Almost surely, 2^900180010 is an apocalyptic number.

900180010 is a deficient number, since it is larger than the sum of its proper divisors (816922790).

900180010 is a wasteful number, since it uses less digits than its factorization.

900180010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75786.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 900180010 is about 30003.0000166650. Note that the first 4 decimals coincide. The cubic root of 900180010 is about 965.5537498494.

It can be divided in two parts, 900 and 180010, that multiplied together give a triangular number (162009000 = T₁₈₀₀₀).

The spelling of 900180010 in words is "nine hundred million, one hundred eighty thousand, ten".