97103653248 has 512 divisors, whose sum is σ = 320550912000. Its totient is φ = 25430630400.

The previous prime is 97103653211. The next prime is 97103653249. The reversal of 97103653248 is 84235630179.

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

It is a junction number, because it is equal to n+sod(n) for n = 97103653197 and 97103653206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97103653249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221192613 + ... + 221193051.

It is an arithmetic number, because the mean of its divisors is an integer number (626076000).

It is a 1-persistent number, because it is pandigital, but 2⋅97103653248 = 194207306496 is not.

Almost surely, 2^97103653248 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 97103653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160275456000).

97103653248 is an abundant number, since it is smaller than the sum of its proper divisors (223447258752).

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

97103653248 is a wasteful number, since it uses less digits than its factorization.

97103653248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 97103653248 in words is "ninety-seven billion, one hundred three million, six hundred fifty-three thousand, two hundred forty-eight".