82964590080100 has 27 divisors (see below), whose sum is σ = 180033358128267. Its totient is φ = 33185799598080.

The previous prime is 82964590080089. The next prime is 82964590080101. The reversal of 82964590080100 is 108009546928.

The square root of 82964590080100 is 9108490.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5811696276516 + 77152893803584 = 2410746^2 + 8783672^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82964590080101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90629476 + ... + 91540324.

Almost surely, 2^{82964590080100} is an apocalyptic number.

82964590080100 is the 9108490-th square number.

It is an amenable number.

82964590080100 is an abundant number, since it is smaller than the sum of its proper divisors (97068768048167).

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

82964590080100 is an frugal number, since it uses more digits than its factorization.

82964590080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821712 (or 910856 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 82964590080100 in words is "eighty-two trillion, nine hundred sixty-four billion, five hundred ninety million, eighty thousand, one hundred".