71071378100 has 144 divisors (see below), whose sum is σ = 168874191360. Its totient is φ = 25845657600.

The previous prime is 71071378073. The next prime is 71071378141. The reversal of 71071378100 is 187317017.

It is a super-2 number, since 2×71071378100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42633467 + ... + 42635133.

It is an arithmetic number, because the mean of its divisors is an integer number (1172737440).

Almost surely, 2^71071378100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71071378100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84437095680).

71071378100 is an abundant number, since it is smaller than the sum of its proper divisors (97802813260).

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

71071378100 is a wasteful number, since it uses less digits than its factorization.

71071378100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 35.

The spelling of 71071378100 in words is "seventy-one billion, seventy-one million, three hundred seventy-eight thousand, one hundred".