106220928 has 64 divisors (see below), whose sum is σ = 307811520. Its totient is φ = 32186880.

The previous prime is 106220903. The next prime is 106221013. The reversal of 106220928 is 829022601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106220928² = 22565771090362368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106220895 and 106220904.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8350 + ... + 16797.

It is an arithmetic number, because the mean of its divisors is an integer number (4809555).

Almost surely, 2^106220928 is an apocalyptic number.

It is an amenable number.

106220928 is an abundant number, since it is smaller than the sum of its proper divisors (201590592).

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

106220928 is a wasteful number, since it uses less digits than its factorization.

106220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25175 (or 25163 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 106220928 is about 10306.3537684285. The cubic root of 106220928 is about 473.5909162490.

The spelling of 106220928 in words is "one hundred six million, two hundred twenty thousand, nine hundred twenty-eight".