106667527806 has 128 divisors (see below), whose sum is σ = 280433664000. Its totient is φ = 29405521152.

The previous prime is 106667527723. The next prime is 106667527849. The reversal of 106667527806 is 608725766601.

It is a super-2 number, since 2×106667527806² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24190930 + ... + 24195338.

It is an arithmetic number, because the mean of its divisors is an integer number (2190888000).

Almost surely, 2^106667527806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106667527806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140216832000).

106667527806 is an abundant number, since it is smaller than the sum of its proper divisors (173766136194).

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

106667527806 is a wasteful number, since it uses less digits than its factorization.

106667527806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6663 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 106667527806 in words is "one hundred six billion, six hundred sixty-seven million, five hundred twenty-seven thousand, eight hundred six".