66837105 has 12 divisors (see below), whose sum is σ = 115851060. Its totient is φ = 35646432.

The previous prime is 66837101. The next prime is 66837137. The reversal of 66837105 is 50173866.

It can be written as a sum of positive squares in 2 ways, for example, as 40335201 + 26501904 = 6351^2 + 5148^2 .

It is not a de Polignac number, because 66837105 - 2² = 66837101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66837105.

It is not an unprimeable number, because it can be changed into a prime (66837101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742590 + ... + 742679.

It is an arithmetic number, because the mean of its divisors is an integer number (9654255).

Almost surely, 2^66837105 is an apocalyptic number.

It is an amenable number.

66837105 is a deficient number, since it is larger than the sum of its proper divisors (49013955).

66837105 is a wasteful number, since it uses less digits than its factorization.

66837105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485280 (or 1485277 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 66837105 is about 8175.3963206685. The cubic root of 66837105 is about 405.8253857740.

It can be divided in two parts, 668 and 37105, that added together give a palindrome (37773).

The spelling of 66837105 in words is "sixty-six million, eight hundred thirty-seven thousand, one hundred five".