82697380316100 has 729 divisors, whose sum is σ = 302849689337013. Its totient is φ = 18856924416000.

The previous prime is 82697380316071. The next prime is 82697380316101. The reversal of 82697380316100 is 161308379628.

The square root of 82697380316100 is 9093810.

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

82697380316100 is a `hidden beast` number, since 82 + 6 + 9 + 73 + 80 + 316 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 9641658430404 + 73055721885696 = 3105102^2 + 8547264^2 .

It is a super-2 number, since 2×82697380316100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82697380316101) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 51016273290 + ... + 51016274910.

Almost surely, 2^{82697380316100} is an apocalyptic number.

82697380316100 is the 9093810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82697380316100

82697380316100 is an abundant number, since it is smaller than the sum of its proper divisors (220152309020913).

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

82697380316100 is a wasteful number, since it uses less digits than its factorization.

82697380316100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 82697380316100 in words is "eighty-two trillion, six hundred ninety-seven billion, three hundred eighty million, three hundred sixteen thousand, one hundred".