71080892100 has 81 divisors (see below), whose sum is σ = 222824180397. Its totient is φ = 18952771680.

The previous prime is 71080892089. The next prime is 71080892119. The reversal of 71080892100 is 129808017.

The square root of 71080892100 is 266610.

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

It can be written as a sum of positive squares in only one way, i.e., 25589121156 + 45491770944 = 159966^2 + 213288^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7993857 + ... + 8002743.

Almost surely, 2^71080892100 is an apocalyptic number.

71080892100 is the 266610-th square number.

It is an amenable number.

71080892100 is an abundant number, since it is smaller than the sum of its proper divisors (151743288297).

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

71080892100 is an equidigital number, since it uses as much as digits as its factorization.

71080892100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17794 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Multiplying 71080892100 by its sum of digits (36), we get a square (2558912115600 = 1599660²).

71080892100 divided by its sum of digits (36) gives a square (1974469225 = 44435²).

The spelling of 71080892100 in words is "seventy-one billion, eighty million, eight hundred ninety-two thousand, one hundred".