106736656 has 20 divisors (see below), whose sum is σ = 222710572. Its totient is φ = 49262976.

The previous prime is 106736639. The next prime is 106736711. The reversal of 106736656 is 656637601.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 87235600 = 4416^2 + 9340^2 .

It is a super-2 number, since 2×106736656² = 22785427468124672, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 256371 + ... + 256786.

Almost surely, 2^106736656 is an apocalyptic number.

106736656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106736656 is an abundant number, since it is smaller than the sum of its proper divisors (115973916).

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

106736656 is a wasteful number, since it uses less digits than its factorization.

106736656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513178 (or 513172 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 106736656 is about 10331.3433782834. The cubic root of 106736656 is about 474.3561448331.

The spelling of 106736656 in words is "one hundred six million, seven hundred thirty-six thousand, six hundred fifty-six".