106702128 has 60 divisors (see below), whose sum is σ = 321594000. Its totient is φ = 32830848.

The previous prime is 106702111. The next prime is 106702139. The reversal of 106702128 is 821207601.

It is a super-2 number, since 2×106702128² = 22770688239456768, 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 11 ways as a sum of consecutive naturals, for example, 26628 + ... + 30371.

It is an arithmetic number, because the mean of its divisors is an integer number (5359900).

Almost surely, 2^106702128 is an apocalyptic number.

106702128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106702128 is an abundant number, since it is smaller than the sum of its proper divisors (214891872).

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

106702128 is a wasteful number, since it uses less digits than its factorization.

106702128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57026 (or 57017 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 106702128 is about 10329.6722116435. The cubic root of 106702128 is about 474.3049898504.

Adding to 106702128 its reverse (821207601), we get a palindrome (927909729).

The spelling of 106702128 in words is "one hundred six million, seven hundred two thousand, one hundred twenty-eight".