106766046 has 128 divisors (see below), whose sum is σ = 265420800. Its totient is φ = 31695840.

The previous prime is 106766029. The next prime is 106766047. The reversal of 106766046 is 640667601.

It is a super-2 number, since 2×106766046² = 22797977156948232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106766046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106766047) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1809565 + ... + 1809623.

It is an arithmetic number, because the mean of its divisors is an integer number (2073600).

Almost surely, 2^106766046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106766046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132710400).

106766046 is an abundant number, since it is smaller than the sum of its proper divisors (158654754).

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

106766046 is a wasteful number, since it uses less digits than its factorization.

106766046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

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

The square root of 106766046 is about 10332.7656510733. The cubic root of 106766046 is about 474.3996789173.

The spelling of 106766046 in words is "one hundred six million, seven hundred sixty-six thousand, forty-six".