9855103104 has 384 divisors, whose sum is σ = 35580504960. Its totient is φ = 2543616000.

The previous prime is 9855103061. The next prime is 9855103121. The reversal of 9855103104 is 4013015589.

9855103104 is a `hidden beast` number, since 98 + 551 + 0 + 3 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 21377434 + ... + 21377894.

It is an arithmetic number, because the mean of its divisors is an integer number (92657565).

Almost surely, 2^9855103104 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 9855103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17790252480).

9855103104 is an abundant number, since it is smaller than the sum of its proper divisors (25725401856).

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

9855103104 is a wasteful number, since it uses less digits than its factorization.

9855103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 9855103104 is about 99272.8719439505. The cubic root of 9855103104 is about 2143.9783264312.

The spelling of 9855103104 in words is "nine billion, eight hundred fifty-five million, one hundred three thousand, one hundred four".