948105216 has 104 divisors (see below), whose sum is σ = 2809185360. Its totient is φ = 315998208.

The previous prime is 948105211. The next prime is 948105229. The reversal of 948105216 is 612501849.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948105211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106306 + ... + 114878.

Almost surely, 2^948105216 is an apocalyptic number.

948105216 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 948105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404592680).

948105216 is an abundant number, since it is smaller than the sum of its proper divisors (1861080144).

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

948105216 is an equidigital number, since it uses as much as digits as its factorization.

948105216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8606 (or 8578 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 948105216 is about 30791.3172176833. The cubic root of 948105216 is about 982.3935715962.

The spelling of 948105216 in words is "nine hundred forty-eight million, one hundred five thousand, two hundred sixteen".