106286736 has 40 divisors (see below), whose sum is σ = 274964544. Its totient is φ = 35378560.

The previous prime is 106286707. The next prime is 106286773. The reversal of 106286736 is 637682601.

It is a super-2 number, since 2×106286736² = 22593740499067392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106286694 and 106286703.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 49885 + ... + 51971.

Almost surely, 2^106286736 is an apocalyptic number.

106286736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106286736 is an abundant number, since it is smaller than the sum of its proper divisors (168677808).

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

106286736 is a wasteful number, since it uses less digits than its factorization.

106286736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 106286736 is about 10309.5458677868. The cubic root of 106286736 is about 473.6886987281.

The spelling of 106286736 in words is "one hundred six million, two hundred eighty-six thousand, seven hundred thirty-six".