97840783102500 has 945 divisors, whose sum is σ = 341563111224181. Its totient is φ = 24499143360000.

The previous prime is 97840783102423. The next prime is 97840783102511. The reversal of 97840783102500 is 520138704879.

It is a happy number.

The square root of 97840783102500 is 9891450.

It is a perfect power (a square), and thus also a powerful number.

97840783102500 is a `hidden beast` number, since 9 + 7 + 8 + 4 + 0 + 78 + 310 + 250 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 47780969614884 + 50059813487616 = 6912378^2 + 7075296^2 .

It is a super-2 number, since 2×97840783102500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 227008777285 + ... + 227008777715.

Almost surely, 2^{97840783102500} is an apocalyptic number.

97840783102500 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97840783102500 is the 9891450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97840783102500

97840783102500 is an abundant number, since it is smaller than the sum of its proper divisors (243722328121681).

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

97840783102500 is an frugal number, since it uses more digits than its factorization.

97840783102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 97840783102500 in words is "ninety-seven trillion, eight hundred forty billion, seven hundred eighty-three million, one hundred two thousand, five hundred".