97073100800 has 576 divisors, whose sum is σ = 287143496640. Its totient is φ = 32180797440.

The previous prime is 97073100797. The next prime is 97073100809. The reversal of 97073100800 is 800137079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97073100809) by changing a digit.

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, 260249414 + ... + 260249786.

It is an arithmetic number, because the mean of its divisors is an integer number (498513015).

Almost surely, 2^97073100800 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 97073100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143571748320).

97073100800 is an abundant number, since it is smaller than the sum of its proper divisors (190070395840).

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

97073100800 is a wasteful number, since it uses less digits than its factorization.

97073100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

Adding to 97073100800 its reverse (800137079), we get a palindrome (97873237879).

The spelling of 97073100800 in words is "ninety-seven billion, seventy-three million, one hundred thousand, eight hundred".