106686736 has 20 divisors (see below), whose sum is σ = 222606412. Its totient is φ = 49239936.

The previous prime is 106686707. The next prime is 106686761. The reversal of 106686736 is 637686601.

It can be written as a sum of positive squares in 2 ways, for example, as 61528336 + 45158400 = 7844^2 + 6720^2 .

It is a super-2 number, since 2×106686736² = 22764119276667392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106686692 and 106686701.

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 3 ways as a sum of consecutive naturals, for example, 256251 + ... + 256666.

Almost surely, 2^106686736 is an apocalyptic number.

106686736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106686736 is an abundant number, since it is smaller than the sum of its proper divisors (115919676).

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

106686736 is a wasteful number, since it uses less digits than its factorization.

106686736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512938 (or 512932 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 106686736 is about 10328.9271466111. The cubic root of 106686736 is about 474.2821822657.

The spelling of 106686736 in words is "one hundred six million, six hundred eighty-six thousand, seven hundred thirty-six".