97105223952 has 320 divisors, whose sum is σ = 308182775040. Its totient is φ = 29272320000.

The previous prime is 97105223947. The next prime is 97105223953. The reversal of 97105223952 is 25932250179.

97105223952 is a `hidden beast` number, since 9 + 71 + 0 + 522 + 3 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 97105223898 and 97105223907.

It is not an unprimeable number, because it can be changed into a prime (97105223953) 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, 161572452 + ... + 161573052.

It is an arithmetic number, because the mean of its divisors is an integer number (963071172).

Almost surely, 2^97105223952 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 97105223952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154091387520).

97105223952 is an abundant number, since it is smaller than the sum of its proper divisors (211077551088).

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

97105223952 is a wasteful number, since it uses less digits than its factorization.

97105223952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 97105223952 in words is "ninety-seven billion, one hundred five million, two hundred twenty-three thousand, nine hundred fifty-two".