106706436 has 48 divisors (see below), whose sum is σ = 258635328. Its totient is φ = 34214400.

The previous prime is 106706389. The next prime is 106706441. The reversal of 106706436 is 634607601.

It is a super-2 number, since 2×106706436² = 22772526967644192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106706397 and 106706406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34431 + ... + 37401.

It is an arithmetic number, because the mean of its divisors is an integer number (5388236).

Almost surely, 2^106706436 is an apocalyptic number.

It is an amenable number.

106706436 is an abundant number, since it is smaller than the sum of its proper divisors (151928892).

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

106706436 is a wasteful number, since it uses less digits than its factorization.

106706436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 106706436 is about 10329.8807350327. The cubic root of 106706436 is about 474.3113729733.

The spelling of 106706436 in words is "one hundred six million, seven hundred six thousand, four hundred thirty-six".