106638128 has 20 divisors (see below), whose sum is σ = 206800008. Its totient is φ = 53270400.

The previous prime is 106638121. The next prime is 106638137. The reversal of 106638128 is 821836601.

It is a super-2 number, since 2×106638128² = 22743380686688768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106638121) 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 3 ways as a sum of consecutive naturals, for example, 20603 + ... + 25253.

Almost surely, 2^106638128 is an apocalyptic number.

It is an amenable number.

106638128 is a deficient number, since it is larger than the sum of its proper divisors (100161880).

106638128 is a wasteful number, since it uses less digits than its factorization.

106638128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6092 (or 6086 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 106638128 is about 10326.5738752018. The cubic root of 106638128 is about 474.2101414126.

The spelling of 106638128 in words is "one hundred six million, six hundred thirty-eight thousand, one hundred twenty-eight".