97301120 has 128 divisors (see below), whose sum is σ = 273490560. Its totient is φ = 32403456.

The previous prime is 97301107. The next prime is 97301129. The reversal of 97301120 is 2110379.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (97301129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165467 + ... + 166053.

It is an arithmetic number, because the mean of its divisors is an integer number (2136645).

Almost surely, 2^97301120 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 97301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136745280).

97301120 is an abundant number, since it is smaller than the sum of its proper divisors (176189440).

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

97301120 is a wasteful number, since it uses less digits than its factorization.

97301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 97301120 is about 9864.1330080246. The cubic root of 97301120 is about 459.9450469956.

Adding to 97301120 its reverse (2110379), we get a palindrome (99411499).

The spelling of 97301120 in words is "ninety-seven million, three hundred one thousand, one hundred twenty".