97836106800 has 120 divisors (see below), whose sum is σ = 318079560256. Its totient is φ = 25700209920.

The previous prime is 97836106799. The next prime is 97836106807. The reversal of 97836106800 is 860163879.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97836106800.

It is not an unprimeable number, because it can be changed into a prime (97836106807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528034 + ... + 688833.

Almost surely, 2^97836106800 is an apocalyptic number.

It is an amenable number.

97836106800 is an abundant number, since it is smaller than the sum of its proper divisors (220243453456).

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

97836106800 is a wasteful number, since it uses less digits than its factorization.

97836106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216955 (or 1216944 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 97836106800 in words is "ninety-seven billion, eight hundred thirty-six million, one hundred six thousand, eight hundred".