106782128 has 20 divisors (see below), whose sum is σ = 217779960. Its totient is φ = 50580864.

The previous prime is 106782127. The next prime is 106782131. The reversal of 106782128 is 821287601.

It is a super-2 number, since 2×106782128² = 22804845720416768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106782127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175325 + ... + 175932.

It is an arithmetic number, because the mean of its divisors is an integer number (10888998).

Almost surely, 2^106782128 is an apocalyptic number.

It is an amenable number.

106782128 is an abundant number, since it is smaller than the sum of its proper divisors (110997832).

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

106782128 is a wasteful number, since it uses less digits than its factorization.

106782128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351284 (or 351278 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 106782128 is about 10333.5438258131. The cubic root of 106782128 is about 474.4234970783.

The spelling of 106782128 in words is "one hundred six million, seven hundred eighty-two thousand, one hundred twenty-eight".