97106048 has 72 divisors (see below), whose sum is σ = 212652405. Its totient is φ = 44149248.

The previous prime is 97106047. The next prime is 97106063. The reversal of 97106048 is 84060179.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 83028544 + 14077504 = 9112^2 + 3752^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6968.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 97105999 and 97106017.

It is not an unprimeable number, because it can be changed into a prime (97106047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1449311 + ... + 1449377.

Almost surely, 2^97106048 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 97106048

97106048 is an abundant number, since it is smaller than the sum of its proper divisors (115546357).

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

97106048 is an equidigital number, since it uses as much as digits as its factorization.

97106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 97106048 is about 9854.2401026157. The cubic root of 97106048 is about 459.6374711376.

The spelling of 97106048 in words is "ninety-seven million, one hundred six thousand, forty-eight".