9104282016 has 192 divisors, whose sum is σ = 25048590336. Its totient is φ = 2893363200.

The previous prime is 9104282009. The next prime is 9104282023. The reversal of 9104282016 is 6102824019.

It is an interprime number because it is at equal distance from previous prime (9104282009) and next prime (9104282023).

It is a super-2 number, since 2×9104282016² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 43148151 + ... + 43148361.

It is an arithmetic number, because the mean of its divisors is an integer number (130461408).

Almost surely, 2^9104282016 is an apocalyptic number.

9104282016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9104282016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12524295168).

9104282016 is an abundant number, since it is smaller than the sum of its proper divisors (15944308320).

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

9104282016 is a wasteful number, since it uses less digits than its factorization.

9104282016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 9104282016 is about 95416.3613642859. The cubic root of 9104282016 is about 2088.0868932292.

The spelling of 9104282016 in words is "nine billion, one hundred four million, two hundred eighty-two thousand, sixteen".