71106306640 has 40 divisors (see below), whose sum is σ = 175046999400. Its totient is φ = 26769432576.

The previous prime is 71106306613. The next prime is 71106306647. The reversal of 71106306640 is 4660360117.

It can be written as a sum of positive squares in 4 ways, for example, as 3956913216 + 67149393424 = 62904^2 + 259132^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×71106306640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 71106306596 and 71106306605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71106306647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26140665 + ... + 26143384.

It is an arithmetic number, because the mean of its divisors is an integer number (4376174985).

Almost surely, 2^71106306640 is an apocalyptic number.

It is an amenable number.

71106306640 is an abundant number, since it is smaller than the sum of its proper divisors (103940692760).

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

71106306640 is a wasteful number, since it uses less digits than its factorization.

71106306640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52284079 (or 52284073 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

Adding to 71106306640 its reverse (4660360117), we get a palindrome (75766666757).

The spelling of 71106306640 in words is "seventy-one billion, one hundred six million, three hundred six thousand, six hundred forty".