107646066 has 48 divisors (see below), whose sum is σ = 256864608. Its totient is φ = 32308800.

The previous prime is 107646059. The next prime is 107646073. The reversal of 107646066 is 660646701.

107646066 is a `hidden beast` number, since 1 + 0 + 7 + 646 + 0 + 6 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (107646059) and next prime (107646073).

It is a self number, because there is not a number n which added to its sum of digits gives 107646066.

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 23 ways as a sum of consecutive naturals, for example, 18646 + ... + 23726.

It is an arithmetic number, because the mean of its divisors is an integer number (5351346).

Almost surely, 2^107646066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107646066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128432304).

107646066 is an abundant number, since it is smaller than the sum of its proper divisors (149218542).

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

107646066 is a wasteful number, since it uses less digits than its factorization.

107646066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 107646066 is about 10375.2622135539. The cubic root of 107646066 is about 475.6995284920.

The spelling of 107646066 in words is "one hundred seven million, six hundred forty-six thousand, sixty-six".