66106110 has 64 divisors (see below), whose sum is σ = 181988352. Its totient is φ = 15054336.

The previous prime is 66106091. The next prime is 66106123. The reversal of 66106110 is 1160166.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90567 + ... + 91293.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^66106110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66106110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90994176).

66106110 is an abundant number, since it is smaller than the sum of its proper divisors (115882242).

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

66106110 is a wasteful number, since it uses less digits than its factorization.

66106110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 66106110 is about 8130.5664009342. The cubic root of 66106110 is about 404.3404598285.

Adding to 66106110 its reverse (1160166), we get a palindrome (67266276).

It can be divided in two parts, 6610 and 6110, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 66106110 in words is "sixty-six million, one hundred six thousand, one hundred ten".