97105000 has 40 divisors (see below), whose sum is σ = 227528730. Its totient is φ = 38840000.

The previous prime is 97104979. The next prime is 97105031. The reversal of 97105000 is 50179.

It can be written as a sum of positive squares in 5 ways, for example, as 16859236 + 80245764 = 4106^2 + 8958^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 9 ways as a sum of consecutive naturals, for example, 4711 + ... + 14710.

Almost surely, 2^97105000 is an apocalyptic number.

It is an amenable number.

97105000 is an abundant number, since it is smaller than the sum of its proper divisors (130423730).

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

97105000 is a wasteful number, since it uses less digits than its factorization.

97105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19447 (or 19428 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 97105000 is about 9854.1869273928. The cubic root of 97105000 is about 459.6358176127.

Adding to 97105000 its reverse (50179), we get a palindrome (97155179).

The spelling of 97105000 in words is "ninety-seven million, one hundred five thousand".