71166100 has 36 divisors (see below), whose sum is σ = 155871100. Its totient is φ = 28200960.

The previous prime is 71166079. The next prime is 71166107. The reversal of 71166100 is 166117.

It can be written as a sum of positive squares in 6 ways, for example, as 5588496 + 65577604 = 2364^2 + 8098^2 .

It is a super-2 number, since 2×71166100² = 10129227578420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71166107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7636 + ... + 14164.

Almost surely, 2^71166100 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 71166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77935550).

71166100 is an abundant number, since it is smaller than the sum of its proper divisors (84705000).

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

71166100 is a wasteful number, since it uses less digits than its factorization.

71166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6652 (or 6645 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 71166100 is about 8436.0002370792. Note that the first 3 decimals coincide. The cubic root of 71166100 is about 414.4044294856.

The spelling of 71166100 in words is "seventy-one million, one hundred sixty-six thousand, one hundred".