106666810 has 16 divisors (see below), whose sum is σ = 192521736. Its totient is φ = 42550848.

The previous prime is 106666799. The next prime is 106666811. The reversal of 106666810 is 18666601.

It can be written as a sum of positive squares in 4 ways, for example, as 105904681 + 762129 = 10291^2 + 873^2 .

It is a super-2 number, since 2×106666810² = 22755616711152200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106666811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10569 + ... + 18028.

Almost surely, 2^106666810 is an apocalyptic number.

106666810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106666810 is a deficient number, since it is larger than the sum of its proper divisors (85854926).

106666810 is a wasteful number, since it uses less digits than its factorization.

106666810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28977.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 106666810 is about 10327.9625289793. The cubic root of 106666810 is about 474.2526530242.

It can be divided in two parts, 1066 and 66810, that added together give a palindrome (67876).

The spelling of 106666810 in words is "one hundred six million, six hundred sixty-six thousand, eight hundred ten".