901010016 has 72 divisors (see below), whose sum is σ = 2604302064. Its totient is φ = 295407360.

The previous prime is 901009939. The next prime is 901010057. The reversal of 901010016 is 610010109.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8076 + ... + 43211.

It is an arithmetic number, because the mean of its divisors is an integer number (36170862).

Almost surely, 2^901010016 is an apocalyptic number.

901010016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

901010016 is an abundant number, since it is smaller than the sum of its proper divisors (1703292048).

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

901010016 is a wasteful number, since it uses less digits than its factorization.

901010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51364 (or 51353 counting only the distinct ones).

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

The square root of 901010016 is about 30016.8288798134. The cubic root of 901010016 is about 965.8504198522.

The spelling of 901010016 in words is "nine hundred one million, ten thousand, sixteen".