71066100 has 144 divisors (see below), whose sum is σ = 240762368. Its totient is φ = 15845760.

The previous prime is 71066087. The next prime is 71066117. The reversal of 71066100 is 166017.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 89907 + ... + 90693.

Almost surely, 2^71066100 is an apocalyptic number.

71066100 is a gapful number since it is divisible by the number (70) 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 71066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120381184).

71066100 is an abundant number, since it is smaller than the sum of its proper divisors (169696268).

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

71066100 is a wasteful number, since it uses less digits than its factorization.

71066100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 71066100 is about 8430.0711740768. The cubic root of 71066100 is about 414.2102365187.

The spelling of 71066100 in words is "seventy-one million, sixty-six thousand, one hundred".