97124106240 has 1440 divisors, whose sum is σ = 432813798144. Its totient is φ = 20384317440.

The previous prime is 97124106239. The next prime is 97124106259. The reversal of 97124106240 is 4260142179.

It is a happy number.

97124106240 is a `hidden beast` number, since 9 + 7 + 1 + 24 + 1 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 97124106195 and 97124106204.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2368880620 + ... + 2368880660.

Almost surely, 2^97124106240 is an apocalyptic number.

97124106240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97124106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216406899072).

97124106240 is an abundant number, since it is smaller than the sum of its proper divisors (335689691904).

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

97124106240 is an equidigital number, since it uses as much as digits as its factorization.

97124106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 97124106240 in words is "ninety-seven billion, one hundred twenty-four million, one hundred six thousand, two hundred forty".