107666000 has 160 divisors (see below), whose sum is σ = 290043936. Its totient is φ = 38400000.

The previous prime is 107665979. The next prime is 107666011. The reversal of 107666000 is 666701.

It can be written as a sum of positive squares in 16 ways, for example, as 92236816 + 15429184 = 9604^2 + 3928^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1065950 + ... + 1066050.

Almost surely, 2^107666000 is an apocalyptic number.

107666000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145021968).

107666000 is an abundant number, since it is smaller than the sum of its proper divisors (182377936).

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

107666000 is a wasteful number, since it uses less digits than its factorization.

107666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 107666000 is about 10376.2228195042. Note that the first 3 decimals coincide. The cubic root of 107666000 is about 475.7288901754.

It can be divided in two parts, 1076 and 66000, that added together give a palindrome (67076).

The spelling of 107666000 in words is "one hundred seven million, six hundred sixty-six thousand".