107667066 has 64 divisors (see below), whose sum is σ = 240299136. Its totient is φ = 31948800.

The previous prime is 107667059. The next prime is 107667073. The reversal of 107667066 is 660766701.

It is an interprime number because it is at equal distance from previous prime (107667059) and next prime (107667073).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 418810 + ... + 419066.

It is an arithmetic number, because the mean of its divisors is an integer number (3754674).

Almost surely, 2^107667066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107667066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120149568).

107667066 is an abundant number, since it is smaller than the sum of its proper divisors (132632070).

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

107667066 is a wasteful number, since it uses less digits than its factorization.

107667066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447.

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 107667066 is about 10376.2741868168. The cubic root of 107667066 is about 475.7304602326.

The spelling of 107667066 in words is "one hundred seven million, six hundred sixty-seven thousand, sixty-six".