66105252637 has 16 divisors (see below), whose sum is σ = 72727488000. Its totient is φ = 59806139184.

The previous prime is 66105252617. The next prime is 66105252671. The reversal of 66105252637 is 73625250166.

It is a de Polignac number, because none of the positive numbers 2^k-66105252637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66105252593 and 66105252602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66105252617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148314 + ... + 392692.

It is an arithmetic number, because the mean of its divisors is an integer number (4545468000).

Almost surely, 2^66105252637 is an apocalyptic number.

It is an amenable number.

66105252637 is a deficient number, since it is larger than the sum of its proper divisors (6622235363).

66105252637 is a wasteful number, since it uses less digits than its factorization.

66105252637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245040.

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 66105252637 in words is "sixty-six billion, one hundred five million, two hundred fifty-two thousand, six hundred thirty-seven".