9105701968 has 80 divisors (see below), whose sum is σ = 20287987200. Its totient is φ = 3915527040.

The previous prime is 9105701963. The next prime is 9105701989. The reversal of 9105701968 is 8691075019.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9105701963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3071655 + ... + 3074617.

It is an arithmetic number, because the mean of its divisors is an integer number (253599840).

Almost surely, 2^9105701968 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 9105701968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10143993600).

9105701968 is an abundant number, since it is smaller than the sum of its proper divisors (11182285232).

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

9105701968 is a wasteful number, since it uses less digits than its factorization.

9105701968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 46.

The square root of 9105701968 is about 95423.8018944959. The cubic root of 9105701968 is about 2088.1954439464.

The spelling of 9105701968 in words is "nine billion, one hundred five million, seven hundred one thousand, nine hundred sixty-eight".