106428825 has 72 divisors (see below), whose sum is σ = 199049760. Its totient is φ = 54316800.

The previous prime is 106428809. The next prime is 106428853. The reversal of 106428825 is 528824601.

106428825 is a `hidden beast` number, since 1 + 0 + 642 + 8 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 106428825 - 2⁴ = 106428809 is a prime.

It is a super-2 number, since 2×106428825² = 22654189581761250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106428825.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 765606 + ... + 765744.

It is an arithmetic number, because the mean of its divisors is an integer number (2764580).

Almost surely, 2^106428825 is an apocalyptic number.

106428825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106428825 is a deficient number, since it is larger than the sum of its proper divisors (92620935).

106428825 is a wasteful number, since it uses less digits than its factorization.

106428825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 106428825 is about 10316.4347039081. The cubic root of 106428825 is about 473.8996876866.

The spelling of 106428825 in words is "one hundred six million, four hundred twenty-eight thousand, eight hundred twenty-five".