97105008 has 320 divisors, whose sum is σ = 351977472. Its totient is φ = 22256640.

The previous prime is 97104979. The next prime is 97105031. The reversal of 97105008 is 80050179.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2066041 + ... + 2066087.

Almost surely, 2^97105008 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 97105008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175988736).

97105008 is an abundant number, since it is smaller than the sum of its proper divisors (254872464).

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

97105008 is a wasteful number, since it uses less digits than its factorization.

97105008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 97105008 is about 9854.1873333117. The cubic root of 97105008 is about 459.6358302351.

It can be divided in two parts, 9 and 7105008, that added together give a palindrome (7105017).

The spelling of 97105008 in words is "ninety-seven million, one hundred five thousand, eight".