106067736 has 48 divisors (see below), whose sum is σ = 289224000. Its totient is φ = 35115072.

The previous prime is 106067699. The next prime is 106067737. The reversal of 106067736 is 637760601.

106067736 is a `hidden beast` number, since 10 + 606 + 7 + 7 + 36 = 666.

It is a super-2 number, since 2×106067736² = 22500729240331392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106067736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106067737) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5785 + ... + 15671.

It is an arithmetic number, because the mean of its divisors is an integer number (6025500).

Almost surely, 2^106067736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106067736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144612000).

106067736 is an abundant number, since it is smaller than the sum of its proper divisors (183156264).

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

106067736 is a wasteful number, since it uses less digits than its factorization.

106067736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 10041 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 106067736 is about 10298.9191665922. The cubic root of 106067736 is about 473.3631355081.

The spelling of 106067736 in words is "one hundred six million, sixty-seven thousand, seven hundred thirty-six".