71105000 has 40 divisors (see below), whose sum is σ = 166610730. Its totient is φ = 28440000.

The previous prime is 71104997. The next prime is 71105003. The reversal of 71105000 is 50117.

It is an interprime number because it is at equal distance from previous prime (71104997) and next prime (71105003).

It can be written as a sum of positive squares in 5 ways, for example, as 2910436 + 68194564 = 1706^2 + 8258^2 .

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

It is not an unprimeable number, because it can be changed into a prime (71105003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2111 + ... + 12110.

Almost surely, 2^71105000 is an apocalyptic number.

It is an amenable number.

71105000 is an abundant number, since it is smaller than the sum of its proper divisors (95505730).

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

71105000 is a wasteful number, since it uses less digits than its factorization.

71105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14247 (or 14228 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 14.

The square root of 71105000 is about 8432.3780750154. The cubic root of 71105000 is about 414.2857992186.

Adding to 71105000 its reverse (50117), we get a palindrome (71155117).

The spelling of 71105000 in words is "seventy-one million, one hundred five thousand".