96801370900 has 72 divisors (see below), whose sum is σ = 228219627384. Its totient is φ = 35425689600.

The previous prime is 96801370801. The next prime is 96801370901. The reversal of 96801370900 is 907310869.

It can be written as a sum of positive squares in 12 ways, for example, as 67602080016 + 29199290884 = 260004^2 + 170878^2 .

It is a super-3 number, since 3×96801370900³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96801370901) 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 23 ways as a sum of consecutive naturals, for example, 182581 + ... + 476380.

It is an arithmetic number, because the mean of its divisors is an integer number (3169717047).

Almost surely, 2^96801370900 is an apocalyptic number.

It is an amenable number.

96801370900 is an abundant number, since it is smaller than the sum of its proper divisors (131418256484).

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

96801370900 is a wasteful number, since it uses less digits than its factorization.

96801370900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659101 (or 659094 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 96801370900 in words is "ninety-six billion, eight hundred one million, three hundred seventy thousand, nine hundred".